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Rational K-stability of continuous C⁡(X)-algebras

Abstract:

We show that the properties of being rationally K-stable passes from the fibres of a continuous C⁡(X)-algebra to the ambient algebra, under the assumption that the underlying space X is compact, metrizable, and of finite covering dimension. As an application, we show that a crossed product C*-algebra is (rationally) K-stable provided the underlying C*-algebra is (rationally) K-stable, and the action has finite Rokhlin dimension with commuting towers.

Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1017/s144678872200009x

Authors

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
ORCID:
0000-0001-6055-8389


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Funder identifier:
https://ror.org/04p800546
Grant:
1229


Publisher:
Cambridge University Press
Journal:
Journal of the Australian Mathematical Society More from this journal
Volume:
115
Issue:
1
Pages:
119-144
Publication date:
2022-05-10
Acceptance date:
2022-03-03
DOI:
EISSN:
1446-8107
ISSN:
1446-7887


Language:
English
Keywords:
Pubs id:
2418354
Local pid:
pubs:2418354
Deposit date:
2026-05-10
ARK identifier:

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