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arXiv · 1504.05327

Crossed Products by Partial Actions of Inverse Semigroups

S. Moayeri Rahni·B. Tabatabaie Shourijeh
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Abstract

In this work, for a given inverse semigroup we will define the crossed product of an inverse semigroup by a partial action. Also, we will associate to an inverse semigroup $G$ an inverse semigroup $S_G$, and we will prove that there is a correspondence between the covariant representation of $G$ and covariant representation of $S_G$. Finally, we will explore a connection between crossed products of an inverse semigroup actions and crossed products by partial actions of inverse semigroups.

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S. Moayeri Rahni, B. Tabatabaie Shourijeh. 2015-04-21. Crossed Products by Partial Actions of Inverse Semigroups. https://arxiv.org/abs/1504.05327

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