Piotr M. Hajac

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All published works

Action	Title	Year	Authors
+ PDF Chat	Unital embeddings of Cuntz algebras from path homomorphisms of graphs	2024	Piotr M. Hajac Yang Liu
+ PDF Chat	The covariant functoriality of graph algebras	2024	Piotr M. Hajac Mariusz Tobolski
+	The covariant functoriality of graph algebras	2023	Piotr M. Hajac Mariusz Tobolski
+ PDF Chat	An equivariant pullback structure of trimmable graph $C^*$-algebras	2022	Francesca Arici Francesco D’Andrea Piotr M. Hajac Mariusz Tobolski
+	Counting paths in directed graphs	2022	Piotr M. Hajac Oskar Stachowiak
+	The contravariant functoriality of graph algebras	2022	Piotr M. Hajac Mariusz Tobolski
+	Noncommutative Borsuk–Ulam-type conjectures revisited	2021	Ludwik Dąbrowski Piotr M. Hajac Sergey Neshveyev
+ PDF Chat	Cyclic-Homology Chern–Weil Theory for Families of Principal Coactions	2020	Piotr M. Hajac Tomasz Maszczyk
+ PDF Chat	Non‐surjective pullbacks of graph C <sup>*</sup> ‐algebras from non‐injective pushouts of graphs	2020	Alexandru Chirvăsitu Piotr M. Hajac Mariusz Tobolski
+	Distinguished bases in the K-theory of multipullback quantum complex projective spaces	2020	Francesco D’Andrea Piotr M. Hajac Tomasz Maszczyk Albert Jeu-Liang Sheu Bartosz Zieliński
+ PDF Chat	Associated noncommutative vector bundles over the Vaksman–Soibelman quantum complex projective spaces	2020	Francesca Arici Piotr M. Hajac Mariusz Tobolski
+ PDF Chat	A graded pullback structure of Leavitt path algebras of trimmable graphs	2020	Piotr M. Hajac Atabey Kaygun Mariusz Tobolski
+ PDF Chat	Pullbacks of graph C*-algebras from admissible pushouts of graphs	2020	Piotr M. Hajac Sarah Reznikoff Mariusz Tobolski
+	The K-theory type of quantum CW-complexes	2020	Francesco D’Andrea Piotr M. Hajac Tomasz Maszczyk Albert Jeu-Liang Sheu Bartosz Zieliński
+	Graph algebras	2019	Piotr M. Hajac Mariusz Tobolski
+	Graph algebras	2019	Piotr M. Hajac Mariusz Tobolski
+ PDF Chat	Pullbacks and nontriviality of associated noncommutative vector bundles	2018	Piotr M. Hajac Tomasz Maszczyk
+	Pullbacks of graph C*-algebras from admissible pushouts of graphs.	2018	Piotr M. Hajac Sarah Reznikoff Mariusz Tobolski
+	Associated noncommutative vector bundles over the Vaksman-Soibelman quantum complex projective spaces	2018	Francesca Arici Piotr M. Hajac Mariusz Tobolski
+ PDF Chat	The $K$-theory of twisted multipullback quantum odd spheres and complex projective spaces	2018	Piotr M. Hajac Ryszard Nest David Pask Aidan Sims Bartosz Zieliński
+	A graded pullback structure of Leavitt path algebras of trimmable graphs.	2018	Piotr M. Hajac Atabey Kaygun Mariusz Tobolski
+	The local-triviality dimension of actions of compact quantum groups	2018	Eusebio Gardella Piotr M. Hajac Mariusz Tobolski Jianchao Wu
+	Pullbacks of graph C*-algebras from admissible pushouts of graphs	2018	Piotr M. Hajac Sarah Reznikoff Mariusz Tobolski
+	A graded pullback structure of Leavitt path algebras of trimmable graphs	2018	Piotr M. Hajac Atabey Kaygun Mariusz Tobolski
+	A pushout structure of Vaksman-Soibelman odd noncommutative spheres	2017	Francesco D’Andrea Piotr M. Hajac Mariusz Tobolski
+	Rank-two Milnor idempotents for the multipullback quantum complex projective plane	2017	Carla Farsi Piotr M. Hajac Tomasz Maszczyk Bartosz Zieliński
+	The cyclic-homology Chern-Weil homomorphism for principal coactions	2017	Piotr M. Hajac Tomasz Maszczyk
+	Free Actions of Compact Quantum Groups on Unital C*-Algebras	2017	Kenny De Commer Piotr M. Hajac Paul Baum
+ PDF Chat	Free Actions of Compact Quantum Groups on Unital $C^\ast$-Algebras	2017	Paul Baum Kenny De Commer Piotr M. Hajac
+	An equivariant pullback structure of trimmable graph C*-algebras	2017	Francesca Arici Francesco D’Andrea Piotr M. Hajac Mariusz Tobolski
+	Noncommutative Borsuk-Ulam-type conjectures revisited	2016	Ludwik Dąbrowski Piotr M. Hajac Sergey Neshveyev
+	Noncommutative Borsuk-Ulam-type conjectures revisited	2016	Ludwik Dąbrowski Piotr M. Hajac Sergey Neshveyev
+	Pullbacks and nontriviality of associated noncommutative vector bundles	2016	Piotr M. Hajac Tomasz Maszczyk
+	Pulling back noncommutative associated vector bundles and constructing quantum quaternionic projective spaces	2015	Piotr M. Hajac Tomasz Maszczyk
+	Pulling back noncommutative associated vector bundles	2015	Piotr M. Hajac Tomasz Maszczyk
+	Pullbacks and nontriviality of associated noncommutative vector bundles	2015	Piotr M. Hajac Tomasz Maszczyk
+	The equivariant-pullback invariance of associating noncommutative vector bundles	2015	Piotr M. Hajac Tomasz Maszczyk
+	Noncommutative line bundles associated to twisted multipullback quantum odd spheres	2015	Piotr M. Hajac David Pask Aidan Sims Bartosz Zieliński
+	The K-theory of twisted multipullback quantum odd spheres and complex projective spaces	2015	Piotr M. Hajac Ryszard Nest David Pask Aidan Sims Bartosz Zieliński
+ PDF Chat	Equivariant Join and Fusion of Noncommutative Algebras	2015	Ludwik Dąbrowski Tom Hadfield Piotr M. Hajac
+	Noncommutative Borsuk-Ulam-type conjectures	2015	Paul Baum Ludwik Dąbrowski Piotr M. Hajac
+	Noncommutative bundles over the multi-pullback quantum complex projective plane	2015	Piotr M. Hajac Jan Rudnik
+ PDF Chat	Noncommutative Borsuk-Ulam-type conjectures	2015	Paul Baum Ludwik Dąbrowski Piotr M. Hajac
+	The K-theory of twisted multipullback quantum odd spheres and complex projective spaces	2015	Piotr M. Hajac Ryszard Nest David Pask Aidan Sims Bartosz Zieliński
+	Noncommutative Borsuk-Ulam-type conjectures	2015	Paul Baum Ludwik Dąbrowski Piotr M. Hajac
+	Braided join comodule algebras of Galois objects	2014	Ludwik Dąbrowski Tom Hadfield Piotr M. Hajac Elmar Wagner
+ PDF Chat	Local Proof of Algebraic Characterization of Free Actions	2014	Paul Baum Piotr M. Hajac
+ PDF Chat	Nontrivial Deformation of a Trivial Bundle	2014	Piotr M. Hajac
+ PDF Chat	The pullbacks of principal coactions	2014	Piotr M. Hajac Elmar Wagner
+	Braided join comodule algebras of Galois objects	2014	Ludwik Dąbrowski Tom Hadfield Piotr M. Hajac Elmar Wagner
+ PDF Chat	The K-theory of Heegaard quantum lens spaces	2013	Piotr M. Hajac Adam Rennie Bartosz Zieliński
+	Free actions of compact quantum group on unital C*-algebras	2013	Paul Baum Kenny De Commer Piotr M. Hajac
+ PDF Chat	Quantum complex projective spaces from Toeplitz cubes	2012	Piotr M. Hajac Atabey Kaygun Bartosz Zieliński
+	The cocycle condition for multi-pullbacks of algebras	2012	Piotr M. Hajac Bartosz Zieliński
+ PDF Chat	Cocycle condition for multi-pullbacks of algebras	2012	Piotr M. Hajac Bartosz Zieliński
+ PDF Chat	Index pairings for pullbacks of C*-algebras	2012	Ludwik Dąbrowski Tom Hadfield Piotr M. Hajac Rainer Matthes Elmar Wagner
+ PDF Chat	Finite closed coverings of compact quantum spaces	2012	Piotr M. Hajac Atabey Kaygun Bartosz Zieliński
+	The cocycle condition for multi-pullbacks of algebras	2012	Piotr M. Hajac Bartosz Zieliński
+	The K-theory of Heegaard quantum lens spaces	2011	Piotr M. Hajac Adam Rennie Bartosz Zieliński
+ PDF Chat	Piecewise principal comodule algebras	2011	Piotr M. Hajac Ulrich Krähmer Rainer Matthes Bartosz Zieliński
+	Reductions of piecewise-trivial principal comodule algebras	2011	Piotr M. Hajac Jan Rudnik Bartosz Zieliński
+	The K-theory of Heegaard quantum lens spaces	2011	Piotr M. Hajac Adam Rennie Bartosz Zieliński
+	Quantum projective space from Toeplitz cubes	2010	Piotr M. Hajac Atabey Kaygun Bartosz Zieliński
+	Quantum projective space from Toeplitz cubes	2010	Piotr M. Hajac Atabey Kaygun Bartosz Zieliński
+	The Pullbacks of Principal Coactions	2010	Piotr M. Hajac Elmar Wagner
+	Finite closed coverings of compact quantum spaces	2009	Piotr M. Hajac Atabey Kaygun Bartosz Zieliński
+	Finite closed coverings of compact quantum spaces	2008	Piotr M. Hajac Atabey Kaygun Bartosz Zieliński
+	K-THEORETIC CONSTRUCTION OF NONCOMMUTATIVE INSTANTONS OF ALL CHARGES	2008	Ludwik Dąbrowski Tom Hadfield Piotr M. Hajac
+	Noncommutative Geometry Approach to Principal and Associated Bundles	2007	Paul Baum Piotr M. Hajac Rainer Matthes Wojciech Szymański
+	Piecewise principal comodule algebras	2007	Piotr M. Hajac Ulrich Kraehmer Rainer Matthes Bartosz Zieliński
+	Index pairings for pullbacks of C*-algebras	2007	Ludwik Dąbrowski Tom Hadfield Piotr M. Hajac Rainer Matthes Elmar Wagner
+ PDF Chat	Noncommutative index theory for mirror quantum spheres	2006	Piotr M. Hajac Rainer Matthes Wojciech Szymański
+ PDF Chat	A Locally Trivial Quantum Hopf Fibration	2006	Piotr M. Hajac Rainer Matthes Wojciech Szymański
+ PDF Chat	The K-Theory of Heegaard-Type Quantum 3-Spheres	2006	Paul Baum Piotr M. Hajac Rainer Matthes Wojciech Szymański
+	The K-Theory of Heegaard-Type Quantum	2006	Paul Baum Piotr M. Hajac Rainer Matthes
+ PDF Chat	The K-Theory of Heegaard-Type Quantum 3-Spheres	2005	Paul Baum Piotr M. Hajac Rainer Matthes Wojciech Szymański
+	Noncommutative index theory for mirror quantum spheres	2005	Piotr M. Hajac Rainer Matthes Wojciech Szymański
+	The K-Theory of Heegaard-Type Quantum 3-Spheres	2004	Paul Baum Piotr M. Hajac Rainer Matthes Wojciech Szymański
+	Stable anti-Yetter-Drinfeld modules	2004	Piotr M. Hajac Masoud Khalkhali Bahram Rangipour Yorck Sommerhaeuser
+ PDF Chat	Stable anti-Yetter–Drinfeld modules	2004	Piotr M. Hajac Masoud Khalkhali Bahram Rangipour Yorck Sommerhäuser
+ PDF Chat	Hopf-cyclic homology and cohomology with coefficients	2004	Piotr M. Hajac Masoud Khalkhali Bahram Rangipour Yorck Sommerhäuser
+	The K-Theory of Heegaard-Type Quantum 3-Spheres	2004	Paul Baum Piotr M. Hajac Rainer Matthes Wojciech Szymański
+	Stable anti-Yetter-Drinfeld modules	2004	Piotr M. Hajac Masoud Khalkhali Bahram Rangipour Yorck Sommerhaeuser
+	The Chern–Galois character	2003	Tomasz Brzeziński Piotr M. Hajac
+ PDF Chat	Chern numbers for two families of noncommutative Hopf fibrations	2003	Piotr M. Hajac Rainer Matthes Wojciech Szymański
+ PDF Chat	Graph C∗-algebras and z2-quotients of quantum spheres	2003	Piotr M. Hajac Rainer Matthes Wojciech Szymański
+	None	2003	Piotr M. Hajac Rainer Matthes Wojciech Szymański
+	Chern numbers for two families of noncommutative Hopf fibrations	2003	Piotr M. Hajac Rainer Matthes Wojciech Szymański
+	Hopf-cyclic homology and cohomology with coefficients	2003	Piotr M. Hajac Masoud Khalkhali Bahram Rangipour Yorck Sommerhaeuser
+	The Chern-Galois character	2003	Tomasz Brzeziński Piotr M. Hajac
+	Noncommutative Geometry and Quantum Groups	2003	Piotr M. Hajac Wiesław Pusz
+	A Locally Trivial Quantum Hopf Fibration	2001	Piotr M. Hajac Rainer Matthes Wojciech Szymański
+	Bundles over Quantum Sphere and Noncommutative Index Theorem	2000	Piotr M. Hajac
+	Quantum Real Projective Space, Disc and Sphere	2000	Piotr M. Hajac Rainer Matthes Wojciech Szymański
+ PDF Chat	Projective Module Description of the q -Monopole	1999	Piotr M. Hajac Shahn Majid
+ PDF Chat	Coalgebra extensions and algebra coextensions of galois type	1999	Tomasz Brzeziński Piotr M. Hajac
+ PDF Chat	Quantum double-torus	1998	Piotr M. Hajac Tetsuya Masuda
+	Algebraic $K_0$ of the Quantum Sphere and Noncommutative Index Theorem	1998	Piotr M. Hajac
+	Frame, cotangent and tangent bundles of the quantum plane	1998	Piotr M. Hajac Rainer Matthes
+	Explicit Hopf-Galois description of $SL_{e^{2i\pi/3}}$-induced Frobenius homomorphisms	1997	Ludwik Dąbrowski Piotr M. Hajac P. Siniscalco
+	Explicit Hopf-Galois description of $SL_{e^{2i\pi/3}}$-induced Frobenius homomorphisms	1997	L. Dąbrowski Piotr M. Hajac P. Siniscalco
+	Coalgebra Extensions and Algebra Coextensions of Galois Type	1997	Tomasz Brzeziński Piotr M. Hajac
+	Coalgebra Extensions and Algebra Coextensions of Galois Type	1997	Tomasz Brzeziński Piotr M. Hajac
+ PDF Chat	A Note on First Order Differential Calculus on Quantum Principal Bundles	1997	Piotr M. Hajac
+	Explicit Hopf-Galois description of $SL_{e^{2iπ/3}}$-induced Frobenius homomorphisms	1997	Ludwik Dąbrowski Piotr M. Hajac P. Siniscalco
+ PDF Chat	Strong connections on quantum principal bundles	1996	Piotr M. Hajac
+ PDF Chat	The Einstein action for algebras of matrix valued functions—Toy models	1996	Piotr M. Hajac
+ PDF Chat	Metrics and pairs of left and right connections on bimodules	1996	Ludwik Dąbrowski Piotr M. Hajac Giovanni Landi P. Siniscalco
+ PDF Chat	Axiomatic holonomy maps and generalized Yang-Mills moduli space	1993	Piotr M. Hajac

Common Coauthors

Coauthor	Papers Together
Rainer Matthes	20
Mariusz Tobolski	18
Bartosz Zieliński	16
Ludwik Dąbrowski	15
Wojciech Szymański	14
Paul Baum	13
Tomasz Maszczyk	9
Atabey Kaygun	9
Bartosz Zieliński	6
Tom Hadfield	6
Elmar Wagner	6
Tomasz Brzeziński	5
Masoud Khalkhali	5
Bahram Rangipour	5
Francesco D’Andrea	5
P. Siniscalco	4
Aidan Sims	4
Francesca Arici	4
David Pask	4
Ryszard Nest	3
Sergey Neshveyev	3
Yorck Sommerhaeuser	3
Sarah Reznikoff	3
Kenny De Commer	3
Tomasz Maszczyk	2
Adam Rennie	2
Jan Rudnik	2
Yorck Sommerhäuser	2
Albert Jeu-Liang Sheu	2
Wiesław Pusz	1
Ulrich Kraehmer	1
Carla Farsi	1
Eusebio Gardella	1
Yang Liu	1
Ulrich Krähmer	1
Tetsuya Masuda	1
Giovanni Landi	1
Shahn Majid	1
Alexandru Chirvăsitu	1
Jianchao Wu	1
Oskar Stachowiak	1
Adam Rennie	1
L. Dąbrowski	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	A Two-Parameter Quantum Deformation of the Unit Disc	1993	Sławomir Klimek A. Leśniewski	28
+ PDF Chat	Strong connections on quantum principal bundles	1996	Piotr M. Hajac	24
+	Pullback and Pushout Constructions in C*-Algebra Theory	1999	Gert K. Pedersen	24
+	The Chern–Galois character	2003	Tomasz Brzeziński Piotr M. Hajac	23
+ PDF Chat	Piecewise principal comodule algebras	2011	Piotr M. Hajac Ulrich Krähmer Rainer Matthes Bartosz Zieliński	22
+	A New Characterisation of Principal Actions	2000	D. Ellwood	19
+ PDF Chat	Strong Connections and Chern-Connes Pairing¶in the Hopf-Galois Theory	2001	Ludwik Dąbrowski Harald Grosse M. Hajac	15
+ PDF Chat	Covering and gluing of algebras and differential algebras	2000	Dirk Calow Rainer Matthes	14
+	None	2002	Jeong Hee Hong Wojciech Szymański	13
+	Principal homogeneous spaces for arbitrary Hopf algebras	1990	Hans‐Jürgen Schneider	12
+ PDF Chat	Quantum group gauge theory on quantum spaces	1993	Tomasz Brzeziński Shahn Majid	12
+	Hopf Algebras and Their Actions on Rings	1993	Susan Montgomery	11
+ PDF Chat	Compact matrix pseudogroups	1987	S. L. Woronowicz	11
+ PDF Chat	Projective Module Description of the q -Monopole	1999	Piotr M. Hajac Shahn Majid	11
+ PDF Chat	Symmetries of quantum spaces. Subgroups and quotient spaces of quantumSU(2) andSO(3) groups	1995	P. Podleś	11
+	Free actions of compact quantum group on unital C*-algebras	2013	Paul Baum Kenny De Commer Piotr M. Hajac	11
+	K-Theory and C*-Algebras: A Friendly Approach	1993	N E Wegge-Olsen	11
+ PDF Chat	On actions of compact quantum groups	2011	Piotr M. Sołtan	10
+	Bundles over Quantum Sphere and Noncommutative Index Theorem	2000	Piotr M. Hajac	10
+ PDF Chat	The K-Theory of Heegaard-Type Quantum 3-Spheres	2005	Paul Baum Piotr M. Hajac Rainer Matthes Wojciech Szymański	10
+ PDF Chat	Non-commutative three dimensional spheres	1991	Kengo Matsumoto	10
+ PDF Chat	Noncommutative index theory for mirror quantum spheres	2006	Piotr M. Hajac Rainer Matthes Wojciech Szymański	10
+	Free Actions of Compact Quantum Groups on Unital C*-Algebras	2017	Kenny De Commer Piotr M. Hajac Paul Baum	9
+ PDF Chat	Equivariant Join and Fusion of Noncommutative Algebras	2015	Ludwik Dąbrowski Tom Hadfield Piotr M. Hajac	9
+ PDF Chat	Quantum Geometry of Algebra Factorisations¶and Coalgebra Bundles	2000	Tomasz Brzeziński Shahn Majid	9
+ PDF Chat	Twisted $\textit{SU}(2)$ Group. An Example of a Non-Commutative Differential Calculus	1987	S. L. Woronowicz	9
+	Noncommutative Geometry Approach to Principal and Associated Bundles	2007	Paul Baum Piotr M. Hajac Rainer Matthes Wojciech Szymański	9
+ PDF Chat	Quantum groups on fibre bundles	1994	Markus J. Pflaum	9
+	Quantum spheres	1987	P. Podleś	8
+ PDF Chat	On generalized Hopf galois extensions	2005	Peter Schauenburg Hans‐Jürgen Schneider	8
+	Introduction to algebraic K-theory	1971	John Milnor	8
+	K-Groups of C*-Algebras Deformed by Actions of Rd	1993	Marc A. Rieffel	8
+ PDF Chat	Index pairings for pullbacks of C*-algebras	2012	Ludwik Dąbrowski Tom Hadfield Piotr M. Hajac Rainer Matthes Elmar Wagner	8
+	C-Algebras and Their Automorphism Groups	1979	Gert Kjærgård Pedersen	8
+ PDF Chat	A Locally Trivial Quantum Hopf Fibration	2006	Piotr M. Hajac Rainer Matthes Wojciech Szymański	8
+ PDF Chat	Connections on locally trivial quantum principal fibre bundles	2002	Dirk Calow Rainer Matthes	8
+ PDF Chat	Quantum complex projective spaces from Toeplitz cubes	2012	Piotr M. Hajac Atabey Kaygun Bartosz Zieliński	7
+	Quantum Groups	1994	Christian Kassel	7
+	Rank-two Milnor idempotents for the multipullback quantum complex projective plane	2017	Carla Farsi Piotr M. Hajac Tomasz Maszczyk Bartosz Zieliński	7
+	Noncommutative differential geometry on the quantum two sphere of podleś. I: An algebraic viewpoint	1991	Tetsuya Masuda Yoshiomi Nakagami Junsei Watanabe	7
+ PDF Chat	Projective quantum spaces	1995	Ulrich Meyer	7
+ PDF Chat	The K-theory of Heegaard quantum lens spaces	2013	Piotr M. Hajac Adam Rennie Bartosz Zieliński	7
+	The garden of quantum spheres	2003	Ludwik Dąbrowski	7
+	Quantum principal fibre bundles: Topological aspects	1996	R. Budzyński Witold Kondracki	6
+ PDF Chat	Topological methods for<i>C</i><sup>∗</sup>-algebras. III. Axiomatic homology	1984	Claude Schochet	6
+ PDF Chat	Noncommutative balls and mirror quantum spheres	2008	Jeong Hee Hong Wojciech Szymański	6
+ PDF Chat	Coalgebra extensions and algebra coextensions of galois type	1999	Tomasz Brzeziński Piotr M. Hajac	6
+	Theory of Operator Algebras II	2003	Masamichi Takesaki	6
+	The K-Theory of Heegaard-Type Quantum 3-Spheres	2004	Paul Baum Piotr M. Hajac Rainer Matthes Wojciech Szymański	6
+ PDF Chat	Algebra extensions and nonsingularity	1995	Joachim Cuntz Daniel Quillen	6