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C*-crossed products by partial actions and actions of inverse semigroups

Part of: Selfadjoint operator algebras

Published online by Cambridge University Press:  09 April 2009

Nándor Sieben
Nándor Sieben
Affiliation:
Department of Mathematics Arizona State UniversityTempe AZ 85287-1804, USA
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Abstract

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The recently developed theory of partial actions of discrete groups on C*-algebras is extended. A related concept of actions of inverse semigroups on C*-algebras is defined, including covariant representations and crossed products. The main result is that every partial crossed product is a crossed product by a semigroup action.

MSC classification

Secondary: 46L55: Noncommutative dynamical systems
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 63 , Issue 1 , August 1997 , pp. 32 - 46
Copyright
Copyright © Australian Mathematical Society 1997

References

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