On tracial \(\mathcal Z\)-stability of simple non-unital C-algebras

We investigate the notion of tracial \(\mathcal Z\)-stability beyond unital C*-algebras, and we prove that this notion is equivalent to \(\mathcal Z\)-stability in the class of separable simple nuclear C*-algebras.

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Bibliographic Details
Published in:arXiv.org 2023-04
Main Authors: Castillejos, Jorge, Kang, Li, Szabo, Gabor
Format: Article
Language:English
Subjects:
Algebra
Stability
Online Access:Get full text
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Description
Summary:We investigate the notion of tracial \(\mathcal Z\)-stability beyond unital C*-algebras, and we prove that this notion is equivalent to \(\mathcal Z\)-stability in the class of separable simple nuclear C*-algebras.
ISSN:2331-8422
DOI:10.48550/arxiv.2108.08742