Abstract
In this work, for an inverse semigroup \(G\) and a partial action \(\pi\) on an algebra \({\text{A}},\) we define the crossed product \(A \times_{\pi }^{a} G\) as an enveloping \(C^{*}\)-algebra of a suitable \(*\)-algebra. At the end, we prove that the definition of crossed product we have presented here is equivalent to the one introduced in Tabatabaie Shourijeh and Moayeri Rahni (Crossed products by partial actions of inverse semigroups, 2015b).
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More From: Iranian Journal of Science and Technology, Transactions A: Science
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