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1 April 2004 Finite group actions on C*-algebras with the Rohlin property, I
Masaki Izumi
Duke Math. J. 122(2): 233-280 (1 April 2004). DOI: 10.1215/S0012-7094-04-12221-3

Abstract

Basic properties of finite group actions with the Rohlin property on unital C*-algebras are investigated. A characterization of finite group actions with the Rohlin property on the Cuntz algebra 02 is given in terms of central sequences, which may be considered as an equivariant version of E. Kirchberg and N. C. Phillips's characterization of 02 . A large class of symmetries on 02 are classified in terms of the fixed-point algebras for conjugacy and the crossed products for cocycle conjugacy. Model actions of symmetries of 02 are constructed for given K-theoretical invariants.

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Masaki Izumi. "Finite group actions on C*-algebras with the Rohlin property, I." Duke Math. J. 122 (2) 233 - 280, 1 April 2004. https://doi.org/10.1215/S0012-7094-04-12221-3

Information

Published: 1 April 2004
First available in Project Euclid: 14 April 2004

zbMATH: 1050.46049
MathSciNet: MR2053753
Digital Object Identifier: 10.1215/S0012-7094-04-12221-3

Subjects:
Primary: 46L40 , 46L55
Secondary: 46L35 , 46L80

Rights: Copyright © 2004 Duke University Press

JOURNAL ARTICLE
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Vol.122 • No. 2 • 1 April 2004
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