Algebraic Crossed Products by Partial Actions of Inverse Semigroups

Document Type : Regular Paper

Authors

1 Shiraz University

2 shiraz university

Abstract

In this work, for an inverse semigroup G and a partial action π on an algebra A we will define the crossed product A×πG as an enveloping C* -algebra of a suitable *-algebra. At the end, we will prove that the definition of crossed product we present here is equivalent to the one introduced in [4].

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Main Subjects