TL;DR
This paper introduces a class of simple C*-algebras that encompasses several important examples, highlighting their significance in the landscape of operator algebras.
Contribution
It defines and discusses a new class called 'selfless' C*-algebras, including key examples like Jiang-Su, UHF, free group, and Cuntz algebras.
Findings
Includes notable examples such as Jiang-Su and Cuntz algebras
Provides a unified framework for various important C*-algebras
Highlights the relevance of this class in operator algebra theory
Abstract
The aim of this note is to advertise a class of simple C*-algebras which includes noteworthy examples such as the Jiang-Su C*-algebra, the infinite dimensional UHF C*-algebras, the reduced group C*-algebra of the free group in infinitely many generators, and the Cuntz algebras.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Algebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology