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Characteristic invatiant of tensor product actions and actions on crossed products

Part of: Selfadjoint operator algebras

Published online by Cambridge University Press:  09 April 2009

Yukako Miwa  and
Yoshikazu Katayama
Yoshikazu Katayama
Affiliation:
Division of Mathematical Sciences, Osaka-kyoiku University, Kashiwara, Osaka 582, Japan e-mail: katayama@cc.osaka-kyoiku.ac.jp
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Abstract

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The first purpose of this paper is to give a tensor product formula of the characteristic invariant and modular invariant for a tensor product action of a discrete group G on AFD factors. The second purpose is to describe a characteristic invariant and modular invariant of the extended action to a crossed product in terms of the original invariants.

MSC classification

Secondary: 46L40: Automorphisms
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 73 , Issue 3 , December 2002 , pp. 357 - 376
Copyright
Copyright © Australian Mathematical Society 2002

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