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Nuclear dimension of simple C*-algebras

Abstract:
We compute the nuclear dimension of separable, simple, unital, nuclear, Z-stable C*-algebras. This makes classification accessible from Z-stability and in particular brings large classes of C*-algebras associated to free and minimal actions of amenable groups on finite dimensional spaces within the scope of the Elliott classification programme.

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Institution:
University of Oxford
Department:
MATHEMATICAL INSTITUTE
Sub department:
Mathematical Institute
Role:
Author
ORCID:
0000-0001-7562-8394
More by this author
Institution:
University of Oxford
Department:
MATHEMATICAL INSTITUTE
Sub department:
Mathematical Institute
Oxford college:
St John's College
Role:
Author
ORCID:
0000-0003-2264-8943
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Name:
Engineering and Physical Sciences Research Council
Grant:
EP/R025061/2
Publisher:
University of Oxford
Publication date:
2020-12-17
Language:
English
Keywords:
Pubs id:
1050050
Local pid:
pubs:1050050
Deposit date:
2020-12-17

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