Andrew S. Toms

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All published works

Action	Title	Year	Authors
+ PDF Chat	Contractible Cuntz classes in $Z$-stable C$^*$-algebras	2024	Chrisil Ouseph Andrew S. Toms
+ PDF Chat	Higher homotopy groups of Cuntz classes	2024	Andrew S. Toms
+ PDF Chat	Homotopies of Constant Cuntz Class	2022	Andrew S. Toms
+	Homotopies of constant Cuntz class	2022	Andrew S. Toms
+	Higher homotopy groups of Cuntz classes	2022	Andrew S. Toms
+ PDF Chat	Structure of the Cuntz Semigroup	2018	Thierry Giordano David Kerr N. Christopher Phillips Andrew S. Toms
+	Group C*-algebras and Crossed Products	2018	Thierry Giordano David Kerr N. Christopher Phillips Andrew S. Toms
+	Internal Measure-Theoretic Phenomena	2018	Thierry Giordano David Kerr N. Christopher Phillips Andrew S. Toms
+	Some Structure Theory for Crossed Products by Finite Groups	2018	Thierry Giordano David Kerr N. Christopher Phillips Andrew S. Toms
+	Elliott’s Program	2018	Thierry Giordano David Kerr N. Christopher Phillips Andrew S. Toms
+	The Absorption Theorem	2018	Thierry Giordano David Kerr N. Christopher Phillips Andrew S. Toms
+	Internal Topological Phenomena	2018	Thierry Giordano David Kerr N. Christopher Phillips Andrew S. Toms
+	An Introduction to Crossed Products by Minimal Homeomorphisms	2018	Thierry Giordano David Kerr N. Christopher Phillips Andrew S. Toms
+	Nuts and Bolts: Proof Sketches	2018	Thierry Giordano David Kerr N. Christopher Phillips Andrew S. Toms
+	Orbit Equivalence of Minimal Actions of a Finitely Generated Abelian Group	2018	Thierry Giordano David Kerr N. Christopher Phillips Andrew S. Toms
+	An Introduction to Large Subalgebras and Applications to Crossed Products	2018	Thierry Giordano David Kerr N. Christopher Phillips Andrew S. Toms
+	Orbit and Strong Orbit Realization for Minimal Homeomorphisms: Ormes’ Results	2018	Thierry Giordano David Kerr N. Christopher Phillips Andrew S. Toms
+	A New Conjecture	2018	Thierry Giordano David Kerr N. Christopher Phillips Andrew S. Toms
+	The Cuntz Semigroup	2018	Thierry Giordano David Kerr N. Christopher Phillips Andrew S. Toms
+	Crossed Products of C*-Algebras, Topological Dynamics, and Classification	2018	Thierry Giordano David Kerr N. Christopher Phillips Andrew S. Toms
+	Unitary orbits of self-adjoint operators in simple <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:mi mathvariant="script">Z</mml:mi></mml:math>-stable <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si2.gif" overflow="scroll"><mml:msup><mml:mrow><mml:mi mathvariant="normal">C</mml:mi></mml:mrow><mml:mrow><mml:mo>⁎</mml:mo></mml:mrow></mml:msup></mml:math>-algebras	2015	Bhishan Jacelon Karen R. Strung Andrew S. Toms
+	Unitary orbits of self-adjoint operators in simple Z-stable C*-algebras	2015	Bhishan Jacelon Karen R. Strung Andrew S. Toms
+	Unitary orbits of self-adjoint operators in simple Z-stable C*-algebras	2015	Bhishan Jacelon Karen R. Strung Andrew S. Toms
+ PDF Chat	The Cuntz semigroup and stability of close<i>C</i><sup>∗</sup>-algebras	2014	Francesc Perera Andrew S. Toms Stuart White Wilhelm Winter
+ PDF Chat	On the Structure of Cuntz Semigroups in (Possibly) Nonunital C*-algebras	2014	Aaron Tikuisis Andrew S. Toms
+ PDF Chat	Z-Stability and Finite-Dimensional Tracial Boundaries	2014	Andrew S. Toms Stuart White Wilhelm Winter
+	C*-Algebras, Dynamics, and Classification	2013	Joachim Cuntz George A. Elliott Andrew S. Toms Wilhelm Winter
+	The isomorphism relation for separable C*-algebras	2013	George A. Elliott Ilijas Farah Vern I. Paulsen Christian Rosendal Andrew S. Toms Asger Törnquist
+ PDF Chat	Minimal Dynamics and K-Theoretic Rigidity: Elliott’s Conjecture	2013	Andrew S. Toms Wilhelm Winter
+ PDF Chat	The isomorphism relation for separable $C*$-algebras	2013	George A. Elliott Ilijas Farah Vern I. Paulsen Christian Rosendal Andrew S. Toms Asger Törnquist
+	The isomorphism relation for separable C*-algebras	2013	George A. Elliott Ilijas Farah Vern I. Paulsen Christian Rosendal Andrew S. Toms Asger Törnquist
+ PDF Chat	The Descriptive Set Theory of C*-algebra Invariants	2012	Ilijas Farah Andrew S. Toms Asger Törnquist
+ PDF Chat	Turbulence, orbit equivalence, and the classification of nuclear <i>C<sup>*</sup> </i>-algebras	2012	Ilijas Farah Andrew S. Toms Asger Törnquist
+ PDF Chat	An algebraic approach to the radius of comparison	2012	Bruce Blackadar Leonel Robert Aaron Tikuisis Andrew S. Toms Wilhelm Winter
+	The descriptive set theory of C$^*$-algebra invariants	2011	Ilijas Farah Andrew S. Toms Asger Törnquist
+	Turbulence, orbit equivalence, and the classification of nuclear C*-algebras	2011	Ilijas Farah Asger Törnquist Andrew S. Toms
+	Characterizing classifiable AH algebras	2011	Andrew S. Toms
+ PDF Chat	𝐾-theory for operator algebras. Classification of 𝐶*-algebras	2011	Pere Ara Francesc Perera Andrew S. Toms
+	Turbulence, orbit equivalence, and the classification of nuclear C*-algebras	2011	Ilijas Farah Asger Törnquist Andrew S. Toms
+	The descriptive set theory of C$^*$-algebra invariants	2011	Ilijas Farah Andrew S. Toms Asger Törnquist
+	An algebraic approach to the radius of comparison	2010	Bruce Blackadar Leonel Robert Aaron Tikuisis Andrew S. Toms Wilhelm Winter
+ PDF Chat	K-theoretic rigidity and slow dimension growth	2010	Andrew S. Toms
+	Ranks of operators in simple <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi mathvariant="normal">C</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:math>-algebras	2010	Marius Dădărlat Andrew S. Toms
+	An algebraic approach to the radius of comparison	2010	Bruce Blackadar Leonel Robert Aaron Tikuisis Andrew S. Toms Wilhelm Winter
+	K-theoretic rigidity and slow dimension growth	2009	Andrew S. Toms
+	Minimal dynamics and the classification of C*-algebras	2009	Andrew S. Toms Wilhelm Winter
+ PDF Chat	A direct proof of Ƶ-stability for approximately homogeneous C*-algebras of bounded topological dimension	2009	Marius Dădărlat N. Christopher Phillips Andrew S. Toms
+	The Elliott conjecture for Villadsen algebras of the first type	2009	Andrew S. Toms Wilhelm Winter
+	K-Theory for operator algebras. Classification of C$^*$-algebras	2009	Pere Ara Francesc Perera Andrew S. Toms
+	Minimal Dynamics and K-theoretic Rigidity: Elliott's Conjecture	2009	Andrew S. Toms Wilhelm Winter
+ PDF Chat	The Jiang-Su algebra does not always embed	2009	Marius Dădărlat Ilan Hirshberg Andrew S. Toms Wilhelm Winter
+	Ranks of operators in simple C*-algebras	2009	Marius Dădărlat Andrew S. Toms
+	K-theoretic rigidity and slow dimension growth	2009	Andrew S. Toms
+ PDF Chat	Comparison Theory and Smooth Minimal C*-Dynamics	2008	Andrew S. Toms
+	A class of simple<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi mathvariant="normal">C</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:math>-algebras with stable rank one	2008	George A. Elliott Ho Minh Toan Andrew S. Toms
+	<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:mi mathvariant="script">Z</mml:mi></mml:math>-stability and infinite tensor powers of C∗-algebras	2008	Marius Dădărlat Andrew S. Toms
+ PDF Chat	-Stable ASH Algebras	2008	Andrew S. Toms Wilhelm Winter
+ PDF Chat	An infinite family of non-isomorphic C$^*$-algebras with identical $\mathrm {K}$-theory	2008	Andrew S. Toms
+ PDF Chat	On the classification problem for nuclear C<sup>∗</sup>-algebras	2008	Andrew S. Toms
+ PDF Chat	Regularity properties in the classification program for separable amenable C*-algebras	2008	George A. Elliott Andrew S. Toms
+	Z-Stable ASH Algebras	2008	Andrew S. Toms Wilhelm Winter
+ PDF Chat	The Cuntz semigroup, the Elliott conjecture, and dimension functions on C*-algebras	2008	Nathanial P. Brown Francesc Perera Andrew S. Toms
+ PDF Chat	Inductive Limits of K-theoretic Complexes with Torsion Coefficients	2007	Søren Eilers Andrew S. Toms
+ PDF Chat	Stability in the Cuntz semigroup of a commutative C*-algebra	2007	Andrew S. Toms
+	Three Applications of the Cuntz Semigroup	2007	Nathanial P. Brown Andrew S. Toms
+	Strongly self-absorbing $C^{*}$-algebras	2007	Andrew S. Toms Wilhelm Winter
+ PDF Chat	Recasting the Elliott conjecture	2007	Francesc Perera Andrew S. Toms
+	Dimension growth for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" display="inline" overflow="scroll"><mml:msup><mml:mi>C</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:math>-algebras	2007	Andrew S. Toms
+	A universal property for the Jiang-Su algebra	2007	Marius Dădărlat Andrew S. Toms
+ PDF Chat	Three Applications of the Cuntz Semigroup	2007	Nathanial P. Brown Andrew S. Toms
+	A class of simple C*-algebras with stable rank one	2007	George A. Elliott Ho Minh Toan Andrew S. Toms
+	The Jiang-Su algebra does not always embed	2007	Marius Dădărlat Ilan Hirshberg Andrew S. Toms Wilhelm Winter
+	Regularity properties in the classification program for separable amenable C*-algebras	2007	George A. Elliott Andrew S. Toms
+	Three Applications of the Cuntz Semigroup	2007	Nathanial P. Brown Andrew S. Toms
+ PDF Chat	CANCELLATION DOES NOT IMPLY STABLE RANK ONE	2006	Andrew S. Toms
+	Flat dimension growth for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi>C</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:math>-algebras	2006	Andrew S. Toms
+	The Cuntz semigroup, the Elliott conjecture, and dimension functions on C*-algebras	2006	Nathanial P. Brown Francesc Perera Andrew S. Toms
+	An infinite family of non-isomorphic C*-algebras with identical K-theory	2006	Andrew S. Toms
+	The Elliott conjecture for Villadsen algebras of the first type	2006	Andrew S. Toms Wilhelm Winter
+	Recasting the Elliott conjecture	2006	Francesc Perera Andrew S. Toms
+	Dimension growth for C*-algebras II	2005	Andrew S. Toms
+ PDF Chat	Strong perforation in infinitely generated $\mathrm{K}_0$-groups of simple $C^*$-algebras	2005	Andrew S. Toms
+ PDF Chat	On the Independence of K-Theory and Stable Rank for Simple C*-Algebras	2005	Andrew S. Toms
+	Strongly self-absorbing C*-algebras	2005	Andrew S. Toms Wilhelm Winter
+	Dimension growth for $C^*$-algebras	2005	Andrew S. Toms
+	Flat dimension growth for C*-algebras	2005	Andrew S. Toms
+	On the independence of K-theory and stable rank for simple C*-algebras	2005	Andrew S. Toms
+	Cancellation does not imply stable rank one	2005	Andrew S. Toms
+	Inductive limits of K-theoretic complexes with torsion coefficients	2005	Søren Eilers Andrew S. Toms
+	On the classification problem for nuclear C*-algebras	2005	Andrew S. Toms
+	Strong perforation in infinitely generated K_0-groups of simple C*-algebras	2005	Andrew S. Toms
+	Z-stable ASH algebras	2005	Andrew S. Toms Wilhelm Winter
+ PDF Chat	Strongly Perforated <i>K</i><sub>0</sub>-Groups of Simple <i>C</i><sup>*</sup>-Algebras	2003	Andrew S. Toms

Common Coauthors

Coauthor	Papers Together
Wilhelm Winter	18
N. Christopher Phillips	16
Thierry Giordano	15
David Kerr	15
Asger Törnquist	9
Ilijas Farah	9
Francesc Perera	7
George A. Elliott	7
Marius Dădărlat	7
Nathanial P. Brown	5
Aaron Tikuisis	4
Vern I. Paulsen	3
Christian Rosendal	3
Leonel Robert	3
Karen R. Strung	3
Bruce Blackadar	3
Bhishan Jacelon	3
Stuart White	2
Pere Ara	2
Ilan Hirshberg	2
Søren Eilers	2
Ho Minh Toan	2
Chrisil Ouseph	1
George A. Elliott	1
Joachim Cuntz	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	On a simple unital projectionless C *-algebra	1999	Xinhui Jiang Hongbing Su	36
+ PDF Chat	On the Independence of K-Theory and Stable Rank for Simple C*-Algebras	2005	Andrew S. Toms	25
+	Strongly self-absorbing $C^{*}$-algebras	2007	Andrew S. Toms Wilhelm Winter	23
+ PDF Chat	On the stable rank of simple C*-algebras	1999	Jesper Villadsen	22
+	Simple C*-Algebras with Perforation	1998	Jesper Villadsen	21
+ PDF Chat	On the classification problem for nuclear C<sup>∗</sup>-algebras	2008	Andrew S. Toms	21
+	The stable and the real rank of Z-absorbing C*-algebras	2004	Mikael Rørdam	20
+	Dimension functions on simpleC*-algebras	1978	Joachim Cuntz	20
+	On the structure of simple C∗-algebras tensored with a UHF-algebra, II	1992	Mikael Rørdam	20
+	Dimension functions and traces on C∗-algebras	1982	Bruce Blackadar David Handelman	19
+	THE STABLE AND THE REAL RANK OF ${\mathcal Z}$-ABSORBING C*-ALGEBRAS	2004	Mikael Rørdam	18
+ PDF Chat	Regularity properties in the classification program for separable amenable C*-algebras	2008	George A. Elliott Andrew S. Toms	17
+ PDF Chat	A simple C*-algebra with a finite and an infinite projection	2003	Mikael Rørdam	17
+ PDF Chat	COVERING DIMENSION AND QUASIDIAGONALITY	2004	Eberhard Kirchberg Wilhelm Winter	16
+	Recursive subhomogeneous algebras	2007	N. Christopher Phillips	15
+ PDF Chat	The Cuntz semigroup, the Elliott conjecture, and dimension functions on C*-algebras	2008	Nathanial P. Brown Francesc Perera Andrew S. Toms	14
+ PDF Chat	Recasting the Elliott conjecture	2007	Francesc Perera Andrew S. Toms	14
+ PDF Chat	The Cuntz semigroup as an invariant for C*-algebras	2008	Kristofer T. Coward George A. Elliott Cristian Ivanescu	13
+	Dimension and Stable Rank in the <i>K</i> -Theory of C<sup>*</sup> -Algebras	1983	Marc A. Rieffel	13
+	The Structure of Positive Elements for C*-Algebras with Real Rank Zero	1997	Francesc Perera	12
+ PDF Chat	Three Applications of the Cuntz Semigroup	2007	Nathanial P. Brown Andrew S. Toms	12
+	The Classification Problem for Amenable C*-Algebras	1995	George A. Elliott	12
+	On the classification of simple inductive limit C*-algebras, II: The isomorphism theorem	2007	George A. Elliott Guihua Gong Liangqing Li	11
+ PDF Chat	Stability in the Cuntz semigroup of a commutative C*-algebra	2007	Andrew S. Toms	11
+	Non-simple purely infinite C *-algebras	2000	Eberhard Kirchberg Mikael Rørdam	11
+	On the classification of C*-algebras of real rank zero.	1993	George A. Elliott	11
+ PDF Chat	-Stable ASH Algebras	2008	Andrew S. Toms Wilhelm Winter	10
+ PDF Chat	On topologically finite-dimensional simple C*-algebras	2005	Wilhelm Winter	10
+	Flat dimension growth for<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi>C</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:math>-algebras	2006	Andrew S. Toms	10
+	Nuclear dimension and $\mathcal{Z}$ -stability of pure C∗-algebras	2011	Wilhelm Winter	10
+	AF-embeddings into C∗-algebras of real rank zero	2004	Francesc Perera Mikael Rørdam	10
+	A Note On Subhomogeneous C*-Algebras	2006	Ping Wong Ng Wilhelm Winter	9
+	On the Classification of C ∗ -Algebras of Real Rank Zero, II	1996	George A. Elliott Guihua Gong	9
+	K-Theory for Operator Algebras	1986	Bruce Blackadar	9
+ PDF Chat	Obstructions to <i>𝒵</i>-Stability for Unital Simple <i>C</i><sup>*</sup>-Algebras	2000	Guihua Gong Xinhui Jiang Hongbing Su	9
+ PDF Chat	The real rank of inductive limit $C^*$-algebras.	1991	Bruce Blackadar Marius Dădărlat Mikael Rørdam	9
+ PDF Chat	Comparison Theory and Smooth Minimal C*-Dynamics	2008	Andrew S. Toms	8
+ PDF Chat	Riesz Decomposition in Inductive Limit $C^*$-ALGEBRAS	1994	K. R. Goodearl	8
+ PDF Chat	Covering dimension for nuclear C∗-algebras	2003	Wilhelm Winter	8
+ PDF Chat	On the classification of simple inductive limit $C^*$-algebras. I: The reduction theorem	2002	Guihua Gong	8
+	On the classification of inductive limits of sequences of semisimple finite-dimensional algebras	1976	George A. Elliott	8
+	Classification of Nuclear C*-Algebras. Entropy in Operator Algebras	2002	Mikael Rørdam Erling Størmer	7
+	Simple nuclear<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.gif" overflow="scroll"><mml:msup><mml:mi>C</mml:mi><mml:mo>∗</mml:mo></mml:msup></mml:math>-algebras of tracial topological rank one	2007	Huaxin Lin	7
+ PDF Chat	A Remark on Invariants for C*-Algebras of Stable Rank One	2008	Alin Ciuperca George A. Elliott	7
+	On the classification problem for nuclear C*-algebras	2005	Andrew S. Toms	7
+ PDF Chat	An infinite family of non-isomorphic C$^*$-algebras with identical $\mathrm {K}$-theory	2008	Andrew S. Toms	7
+ PDF Chat	Classification of Simple Tracially AF <i>C</i><sup>*</sup>-Algebras	2001	Huaxin Lin	7
+	Cancellation and stable rank for direct limits of recursive subhomogeneous algebras	2007	N. Christopher Phillips	7
+	Approximately central matrix units and the structure of noncommutative tori	1992	Bruce Blackadar Alexander Kumjian Mikael Rørdam	7
+	Partially Ordered Abelian Groups with Interpolation	2010	Kenneth Goodearl	6