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Κ-theory of Bernoulli shifts of finite groups on UHF-Algebras

Κ-theory of Bernoulli shifts of finite groups on UHF-Algebras
Κ-theory of Bernoulli shifts of finite groups on UHF-Algebras
We show that the Bernoulli shift and the trivial action of a finite group G on a UHF-algebra of infinite type are KKG-equivalent and that the Bernoulli shift absorbs the trivial action up to conjugacy. As an application, we compute the Κ-theory of crossed products by approximately inner flips on classifiable C*-algebras.
math.OA, math.KT, Primary 46L80, 19K35, Secondary 20C05
2331-8422
Kranz, Julian
0f2968d5-30bb-4791-bc5c-9da5275459c2
Nishikawa, Shintaro
3e8c8e9a-a181-4a7b-9cc6-a70e16177703
Kranz, Julian
0f2968d5-30bb-4791-bc5c-9da5275459c2
Nishikawa, Shintaro
3e8c8e9a-a181-4a7b-9cc6-a70e16177703

Kranz, Julian and Nishikawa, Shintaro (2022) Κ-theory of Bernoulli shifts of finite groups on UHF-Algebras. arXiv. (In Press)

Record type: Article

Abstract

We show that the Bernoulli shift and the trivial action of a finite group G on a UHF-algebra of infinite type are KKG-equivalent and that the Bernoulli shift absorbs the trivial action up to conjugacy. As an application, we compute the Κ-theory of crossed products by approximately inner flips on classifiable C*-algebras.

Text
2210.00061v1 - Accepted Manuscript
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More information

Accepted/In Press date: 30 September 2022
Additional Information: 15 pages
Keywords: math.OA, math.KT, Primary 46L80, 19K35, Secondary 20C05

Identifiers

Local EPrints ID: 496574
URI: http://eprints.soton.ac.uk/id/eprint/496574
ISSN: 2331-8422
PURE UUID: d1d7365d-9df9-421e-895e-5bac562e45a7
ORCID for Shintaro Nishikawa: ORCID iD orcid.org/0000-0003-4593-3069

Catalogue record

Date deposited: 19 Dec 2024 17:38
Last modified: 10 Jan 2025 03:17

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Contributors

Author: Julian Kranz
Author: Shintaro Nishikawa ORCID iD

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