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

Nándor Sieben

doi:10.1017/s1446788700000306

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

Nándor Sieben

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

39 Scopus citations

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 language	English (US)
Pages (from-to)	32-46
Number of pages	15
Journal	Journal of the Australian Mathematical Society
Volume	63
Issue number	1
DOIs	https://doi.org/10.1017/s1446788700000306
State	Published - Aug 1997

ASJC Scopus subject areas

General Mathematics

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title = "C*-crossed products by partial actions and actions of inverse semigroups",

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.",

author = "N{\'a}ndor Sieben",

note = "Funding Information: This material is based upon work supported by the National Science Foundation under Grant No. DMS9401253. {\textcopyright} 1997 Australian Mathematical Society 0263-6115/97 SA2.00 + 0.00",

year = "1997",

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

Abstract

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