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K-stability of continuous C(X)-algebras

Abstract:
A C*-algebra is said to be K-stable if its nonstable K-groups are naturally isomorphic to the usual K-theory groups. We study continuous C(X)-algebras, each of whose fibers are K-stable. We show that such an algebra is itself K-stable under the assumption that the underlying space X is compact, metrizable, and of finite covering dimension.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1090/proc/15035

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:
UGC Ref No:1229


Publisher:
American Mathematical Society
Journal:
Proceedings of the American Mathematical Society More from this journal
Volume:
148
Issue:
9
Pages:
3897-3909
Publication date:
2020-04-22
Acceptance date:
2020-04-22
DOI:
EISSN:
1088-6826
ISSN:
0002-9939


Language:
English
Keywords:
Pubs id:
2418353
Local pid:
pubs:2418353
Source identifiers:
W2947185987
Deposit date:
2026-05-10
ARK identifier:

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