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George A. Elliott

George A. Elliott

D-Index & Metrics

Mathematics

D-Index
38
Citations
6674
World Ranking
2326
National Ranking
91

Research.com Recognitions

  • 2013 - Fellow of the American Mathematical Society

Overview

George A. Elliott is affiliated with the University of Toronto in Canada and has contributed extensively to the field of Mathematics, particularly within several specialized subfields. Their research encompasses areas such as Mathematical Physics, Algebra and Number Theory, Geometry and Topology, Computational Theory and Mathematics, and Statistical and Nonlinear Physics.

Their work focuses on advanced topics in algebra and operator algebras, with significant contributions noted in Advanced Operator Algebra Research, Advanced Topics in Algebra, Algebraic Structures and Combinatorial Models, Spectral Theory in Mathematical Physics, Noncommutative and Quantum Gravity Theories, Holomorphic and Operator Theory, and Advanced Algebra and Logic.

Recent published papers by George A. Elliott include:

  • Simple stably projectionless C*-algebras with generalized tracial rank one, 2020, Journal of Noncommutative Geometry
  • The classification of simple separable KK-contractible C*-algebras with finite nuclear dimension, 2020, Journal of Geometry and Physics
  • On the classification of simple amenable C*-algebras with finite decomposition rank, II, 2024, Journal of Noncommutative Geometry
  • On the Bundle of KMS State Spaces for Flows on a -Absorbing C*-Algebra, 2022, Communications in Mathematical Physics

They have collaborated frequently with several researchers, including:

  • Zhuang Niu
  • Guihua Gong
  • Huaxin Lin
  • Qingnan An
  • Zhichao Liu

Their publications have appeared in diverse venues with notable frequency in:

  • arXiv (Cornell University)
  • Journal of Noncommutative Geometry
  • Canadian Journal of Mathematics
  • Journal of Geometry and Physics
  • Journal of Functional Analysis

In 2013, George A. Elliott was recognized as a Fellow of the American Mathematical Society. This distinction reflects their engagement with the broader mathematical community.

Best Publications

  • On the classification of inductive limits of sequences of semisimple finite-dimensional algebras

    George A Elliott

  • On the classification of C*-algebras of real rank zero.

    George A. Elliott

  • ON THE CLASSIFICATION OF C*-ALGEBRAS OF REAL RANK ZERO, II

    George A. Elliott;Guihua Gong

  • The structure of the irrational rotation C*-algebra

    George Elliott;David Emrys Evans

  • The Cuntz semigroup as an invariant for C*-algebras

    Kristofer T. Coward;George A. Elliott;Cristian Ivanescu

  • On the classification of simple inductive limit C*-algebras, II: The isomorphism theorem

    George A. Elliott;Guihua Gong;Guihua Gong;Liangqing Li

  • On the classification of simple amenable C*-algebras with finite decomposition rank

    George A. Elliott;Zhuang Niu

  • Regularity properties in the classification program for separable amenable C*-algebras

    George A. Elliott;Andrew S. Toms

  • Gauss polynomials and the rotation algebra

    Man-Duen Choi;George A. Elliott;George A. Elliott;Noriko Yui

  • The Classification Problem for Amenable C*-Algebras

    George A. Elliott;George A. Elliott

  • THE CONE OF LOWER SEMICONTINUOUS TRACES ON A C*-ALGEBRA

    George A. Elliott;Leonel Robert;Luis Santiago

  • Derivations of Matroid C ∗ -Algebras, II

    George A. Elliott

  • Reduction of real rank in inductive limits of C * -algebras

    Bruce Blackadar;Ola Bratteli;George A. Elliott;George A. Elliott;Alexander Kumjian

  • Amenable actions of groups

    Scot Adams;George A. Elliott;Thierry Giordano

  • Some Simple C*-Algebras Constructed As Crossed Products with Discrete Outer Automorphism Groups

    George A. Elliott

  • An abstract Voiculescu–Brown–Douglas–Fillmore absorption theorem

    George A. Elliott;Dan Kucerovsky

  • A Classification of Certain Simple C*-Algebras

    George A. Elliott

  • Fields of generalized power series

    G. A. Elliott;P. Ribenboim

  • On totally ordered groups, and K0

    George A. Elliott

  • The C∗-algebra of a minimal homeomorphism of zero mean dimension

    George A. Elliott;Zhuang Niu

  • K-theory I

    B. V. Bhat;George Elliott;Peter Fillmore

Frequent Co-Authors

Ola Bratteli
Ola Bratteli University of Oslo
Huaxin Lin
Huaxin Lin University of Oregon
Mikael Rørdam
Mikael Rørdam University of Copenhagen
Derek W. Robinson
Derek W. Robinson Australian National University
Vern I. Paulsen
Vern I. Paulsen University of Waterloo
Man-Duen Choi
Man-Duen Choi University of Toronto
Palle E. T. Jorgensen
Palle E. T. Jorgensen University of Iowa
Wilhelm Winter
Wilhelm Winter University of Münster
Ruy Exel
Ruy Exel Universidade Federal de Santa Catarina
Erling Størmer
Erling Størmer University of Oslo

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