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

Nandor Sieben
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Abstract

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.

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Nandor Sieben. 1996-02-21. C*-crossed products by partial actions and actions of inverse semigroups. https://arxiv.org/abs/funct-an/9602006

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