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Discrete coactions on C*-algebras

Part of: Selfadjoint operator algebras

Published online by Cambridge University Press:  09 April 2009

Chi-Keung Ng
Chi-Keung Ng
Affiliation:
Mathematical InstituteUniversity of Oxford24–29 St. Giles Oxford OX1 3LB, England
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Abstract

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We will consider coactions of discrete groups on C*-algebras and imitate some of the results about compact group actions on C*-algebras. In particular, the crossed product of a reduced coaction ∈ of a discrete amenable group G on A is liminal (respectively, postliminal) if and only if the fixed point algebra of ∈ is. Moreover, we will also consider ergodic coactions on C*-algebras.

MSC classification

Secondary: 46L55: Noncommutative dynamical systems
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 60 , Issue 1 , February 1996 , pp. 118 - 127
Copyright
Copyright © Australian Mathematical Society 1996

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