Mathematics â€ș Mathematical Physics

Advanced Operator Algebra Research

Description

This cluster of papers focuses on the classification, properties, and applications of C*-algebras, including topics such as quantum groups, noncommutative geometry, K-theory, locally compact groups, von Neumann algebras, quantum field theory, group actions, operator systems, and spectral triples.

Keywords

C*-Algebras; Quantum Groups; Noncommutative Geometry; K-Theory; Locally Compact Groups; Von Neumann Algebras; Quantum Field Theory; Group Actions; Operator Systems; Spectral Triples

Most Cited Works

Action Title Date Authors
Model theory: an introduction 2003-06-01 David Marker
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Lectures on Coarse Geometry 2003-10-08 John Roe
L'algĂšbre de Fourier d'un groupe localement compact 1964-01-01 Pierre Eymard
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Seminar on transformation groups 1960-12-01 A. Borel Glen E. Bredon
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C*–Algebras and Operator Theory 1990-01-01 Gerard J. Murphy
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C[*]-algebras and W[*]-algebras 1971-01-01 æ­Łäž€éƒŽ 湃
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C*-Algebras by Example 1996-07-30 Kenneth R. Davidson
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Elements of Noncommutative Geometry 2001-01-01 JosĂ© M. Gracia-Bondı́a Joseph C. VĂĄrilly HĂ©ctor Figueroa
Foliations and the topology of 3-manifolds 1983-01-01 David Gabai
Coxeter Graphs and Towers of Algebras 1989-01-01 Frederick M. Goodman Pierre de la Harpe Vaughan F. R. Jones
A Groupoid Approach to C*-Algebras 1980-01-01 Jean Renault
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The “transition probability” in the state space of a ∗-algebra 1976-04-01 Armin Uhlmann
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The Index of Elliptic Operators: III 1968-05-01 Michael Atiyah I. M. Singer
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SimpleC*-algebra generated by isometries 1977-06-01 Joachim Cuntz
Positive functions on đ¶*-algebras 1955-04-01 W. Forrest Stinespring
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An SU(2) anomaly 1982-11-01 Edward Witten
Induced representations of C∗-algebras 1974-06-01 Marc A. Rieffel
Hopf Algebras, Renormalization and Noncommutative Geometry 1998-12-01 Alain Connes Dirk Kreimer
Differential calculus on compact matrix pseudogroups (quantum groups) 1989-03-01 S. L. Woronowicz
Bicrossproduct structure of Îș-Poincare group and non-commutative geometry 1994-08-01 Shahn Majid H. Ruegg
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λ1, Isoperimetric inequalities for graphs, and superconcentrators 1985-02-01 Noga Alon Vitali Milman
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Banach spaces related to integrable group representations and their atomic decompositions, I 1989-10-01 Hans G. Feichtinger Karlheinz Gröchenig
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Cohomology in Banach algebras 1972-01-01 Barry Johnson
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EquivariantKK-theory and the Novikov conjecture 1988-02-01 Gennadi Kasparov
Generalized<i>s</i>-numbers of<i>τ</i>-measurable operators 1986-06-01 Thierry Fack Hideki Kosaki
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Index for subfactors 1983-02-01 Vaughan F. R. Jones
On the generators of quantum dynamical semigroups 1976-06-01 Göran Lindblad
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Loop space representation of quantum general relativity 1990-02-01 Carlo Rovelli Lee Smolin
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General Theory of Banach Algebras. 1961-10-01 E. H. Batho C. E. Rickart
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Limit laws for Random matrices and free products 1991-12-01 Dan Voiculescu
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Heat Kernels and Dirac Operators 1992-01-01 Nicole Berline Ezra Getzler MichĂšle Vergne
Quantum theory of geometry: I. Area operators 1997-01-01 Abhay Ashtekar Jerzy Lewandowski
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A class ofC *-algebras and topological Markov chains 1980-10-01 Joachim Cuntz Wolfgang Krieger
Non-commutative differential geometry 1985-12-01 Alain Connes
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Invariants of 3-manifolds via link polynomials and quantum groups 1991-12-01 Nicolai Reshetikhin Vladimir G. Turaev
A new polynomial invariant of knots and links 1985-01-01 Peter Freyd David N. Yetter Jim Hoste W. B. R. Lickorish Kenneth C. Millett Adrian Ocneanu
Quantum Ito's formula and stochastic evolutions 1984-09-01 R. L. Hudson K. R. Parthasarathy
A polynomial invariant for knots via von Neumann algebras 1985-01-01 Vaughan F. R. Jones
Ergodic equivalence relations, cohomology, and von Neumann algebras. I 1977-01-01 Jacob J. Feldman Calvin C. Moore
Twisted $\textit{SU}(2)$ Group. An Example of a Non-Commutative Differential Calculus 1987-02-28 S. L. Woronowicz
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Completely positive linear maps on complex matrices 1975-06-01 Man-Duen Choi
Noncommutative Geometry and Matrix Theory: Compactification on Tori 1998-02-19 Alain Connes Michael R. Douglas Albert Schwarz
On quantum gauge theories in two dimensions 1991-10-01 Edward Witten
Non-Commutative Geometry 1988-01-01 Alain Connes
Subalgebras of C*-algebras 1969-01-01 William Arveson
User-Friendly Tail Bounds for Sums of Random Matrices 2011-08-01 Joel A. Tropp
Produits tensoriels topologiques et espaces nucléaires 1955-01-01 Alexandre Grothendieck
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K-Theory for Operator Algebras 1986-01-01 Bruce Blackadar
Noncommutative Geometry 2010-06-30 Alain Connes Joachim Cuntz Marc A. Rieffel
Noncommutative geometry and Matrix theory 1998-02-05 Alain Connes Michael R. Douglas Albert Schwarz

Most Recent Works

Action Title Date Authors
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Intrinsically lipschitz sections and applications to metric groups 2025-04-17 Daniela Di Donato Enrico Le Donne
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Analogues of composition operators in the setting of non-commutative symmetric spaces 2025-04-18 Pierre de Jager
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The ball-covering property of non-commutative spaces of operators on Banach spaces 2025-04-19 Qiyao Bao Rui Liu Jie Shen
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Cornering relative symmetry theories 2025-04-21 Mirjam Cvetič Ron Donagi Jonathan J. Heckman Max HĂŒbner Ethan Torres
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ASYMPTOTIC DIMENSION AND GEOMETRIC DECOMPOSITIONS IN DIMENSIONS 3 AND 4 2025-04-21 HaydeĂ© Contreras-Peruyero Pablo SuĂĄrez‐Serrato
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Singularity with and without disorder at Affleck-Kennedy-Lieb-Tasaki points 2025-04-22 Loïc Herviou A. M. Rey Frédéric Mila
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Asymptotic quantization of Palatini action 2025-04-21 A. P. Balachandran
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When the Lower Central Series Stops: A Comprehensive Study for Braid Groups and Their Relatives 2025-04-23 Jacques Darné Martin Palmer Arthur Soulié
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Coupled minimal models revisited II: Constraints from permutation symmetry 2025-04-23 AntĂłnio Pais Antunes Connor Behan
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Gravity and geometry, Lovelock and Chern–Simons, topological terms, extensions, and anomalies 2025-04-24
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Discrete subgroups with finite Bowen–Margulis–Sullivan measure in higher rank 2025-04-21 MikoƂaj Frączyk Minju Lee
Centralizers of Hamiltonian Circle Actions on Rational Ruled Surfaces 2025-04-23 Pranav Chakravarthy Martin Pinsonnault
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Strong property (T) and relatively hyperbolic groups 2025-04-25 HermĂšs Lajoinie-Dodel
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Kernels in measurable cohomology for transitive actions 2025-04-24 Michelle Bucher Alessio Savini
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Unital operator spaces and discrete groups 2025-04-24 Nikolaos Koutsonikos-Kouloumpis
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Boundary curvature scalars on conformally compact manifolds 2025-04-25 A. Rod Gover JarosƂaw KopiƄski Andrew Waldron
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Impacts of Some Definitions on Algebra of Differential Operators for Noncommutative Algebras 2025-04-26 Sama Anzoumana Sir Benedic Kouame Bah K.M. Kouakou
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Essential module amenability of Banach algebras 2025-04-26 S. F. Shariati Somaye Grailoo Tanha Abasalt Bodaghi
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Universality and non-embeddability into Banach spaces of subspaces of the real line with the Gromov–Hausdorff distance 2025-04-27 Sofiya Ostrovska Mikhail I. Ostrovskii
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A backward ergodic theorem along trees and its consequences for free group actions 2025-04-28 Anush Tserunyan Jenna Zomback
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Raviolo vertex algebras 2025-04-28 Niklas Garner Brian R. Williams
On Fock covariance for product systems and the reduced Hao–Ng isomorphism problem by discrete actions 2025-04-28 Evgenios T. A. Kakariadis Ioannis Apollon Paraskevas
Embedding groups into boundedly acyclic groups 2025-04-27 Fan Wu Xiaolei Wu Mengfei Zhao ZIQING zhou
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Characterization of the BJ-Orthograph Radii in a Certain Class of C*-Algebra 2025-04-20 Abraham Osogo Nyakebogo Boaz Simatwo Kimtai
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Corrigendum to “Noncoprime action of a cyclic group” [J. Algebra 643 (2024) 1–10] 2025-04-29 GĂŒlı̇n Ercan İsmaı̇l ƞ. GĂŒloğlu
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Leavitt path algebra for power graph and its supergraph 2025-04-29 Sumanta Das M. K. Sen S. K. Maity
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ON THE SPECTRUM OF A SELF-ADJOINT OPERATOR ON KAPLANSKY-HILBERT MODULES 2025-04-29 Karimbergen Kudaybergenov Allabay Arziev Parakhatdiin Orinbaev
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Skew Hecke algebras 2025-04-30 James Waldron Leon Loveridge
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2-Term Extended Rota–Baxter Pre-Lie$$_{\infty }$$-Algebra and Non-Abelian Extensions of Extended Rota–Baxter Pre-Lie Algebras 2025-05-01 Shuangjian Guo Yizheng Li Dingguo Wang
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Cocycles in Lie Groups, Cochains and Regularity Problem 2025-05-01 Maria Laureano
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In-betweenness and Heinz mean inequalities 2025-05-02 ‎Raluca Dumitru JosĂ© A. Franco Sejong Kim
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A generalization to networks of Young’s characterization of the Borda rule 2025-05-02 Daniela Bubboloni Michele Gori
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Nonlinear maps preserving the mixed type products on $$*$$-algebras 2025-05-02 Mohammad Aslam Siddeeque Mohammad Shane Alam Raof Ahmad Bhat
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Quantum Symmetries of Graph <i>C</i><sup>*</sup>-algebras Having Maximal Permutational Symmetry 2025-04-30 Ujjal Karmakar Arnab Mandal
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Positive definite functions as uniformly ergodic multipliers of the Fourier algebra 2025-05-03 Jorge Galindo Enrique JordĂĄ Alberto RodrĂ­guez-Arenas
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Single and multi-valued Hilbert-bundle renormings 2025-05-06 Alexandru Chirvăsitu
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Fredholm weighted composition operators on analytic Lipschitz algebras 2025-05-01 Shadi Behrouzi H. Mahyar
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On structural connections between sandpile monoids and weighted Leavitt path algebras 2025-05-01 Roozbeh Hazrat Tran Giang Nam
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Relating ample and biample topological categories with Boolean restriction and range semigroups 2025-05-07 Ganna Kudryavtseva
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Injective Envelopes of Real C*- and AW*-Algebras 2025-04-29 A. A. Rakhimov Laylo Ramazonova
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Short-time character of corrections to the generalized Kadanoff–Baym Ansatz 2025-05-01 A. KalvovĂĄ P. LipavskĂœ
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A GEOMETRIC MODEL FOR TWISTED DIFFERENTIAL K-HOMOLOGY AND ITS APPLICATIONS 2025-05-01 Abdelkhalek Hboussa
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Born Geometry via KĂŒnneth Structures and Recursion Operators 2025-05-07 M. J. D. Hamilton D. Kotschick Paula Naomi Pilatus
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Unital aligned shift equivalence and the graded classification conjecture for Leavitt path algebras 2025-05-07 Kevin Aguyar Brix Adam Dor-On Roozbeh Hazrat Efren Ruiz
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Undecidability and incompleteness in quantum information theory and operator algebras 2025-05-08 Isaac Goldbring
Quantum gravity: are we there yet? 2025-05-08 Shahn Majid
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A Rasmussen invariant for links in ℝℙ³ 2025-05-09 Ciprian Manolescu Michael Willis
Background dependent cutoff for Wilson actions 2025-05-09 C. Pagani Hidenori Sonoda
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Expansion of traces and Dixmier traceability for global pseudo-differential operators on manifolds with boundary 2025-05-09 DuvĂĄn Cardona Vishvesh Kumar Michael Ruzhansky Niyaz Tokmagambetov
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Rigidity for von Neumann algebras of graph product groups, I: Structure of automorphisms 2025-05-10 IonuĆŁ Chifan Michael J. Davis Daniel Drimbe