A review of the Elliott program of classification of simple amenable C*-algebras

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arxiv 2311.14238 v1 pith:OCC5Z64W submitted 2023-11-24 math.OA

Guihua Gong , Huaxin Lin , Zhuang Niu This is my paper · ORCID

classification math.OA

keywords algebrasamenableclassificationelliottprogramsimplebriefdevelopment

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abstract

We give a brief survey of the development of the Elliott program of classification of separable simple amenable $C^*$-algebras.

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Examples of non-amenable, boundary-amenable dynamical systems
math.OA 2025-07 conditional novelty 6.0 of 10

A countable group with the approximation property acting on a countable set with trivial infinite intersections of stabilizers always acts amenably on the Stone-Cech boundary of that set.