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

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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.

Original languageEnglish (US)
Pages (from-to)32-46
Number of pages15
JournalJournal of the Australian Mathematical Society
Volume63
Issue number1
StatePublished - Aug 1997
Externally publishedYes

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ASJC Scopus subject areas

  • Mathematics(all)
  • Statistics and Probability

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