Partial Semigroup Algebras Associated to Partial Actions

2015/04/20 by B. Tabatabaie Shourijeh, Shourijeh, B. Tabatabaie, S. Moayeri Rahni +1
Mathematics · Computer Science · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Advanced Algebra and Logic

paper · pdf · doi:10.48550/arxiv.1504.04990

Abstract

For a given inverse semigroup S , we introduce the notion of algebraic crossed product by using a given partial action of S, and we will prove that under some condition it is associative. Also we will introduce the concept of partial semigroup algebra K_Par(S) , and we show that the suitable quotient of K_Par(S) is a sort of crossed product.

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• Crossed Products by Partial Actions of Inverse Semigroups
• Partial Crossed Product of a group G vs Crossed Product of S(G)
• C*-crossed products by partial actions and actions of inverse semigroups
• Partial crossed products as equivalence relation algebras
• Inverse semigroup expansions and their actions on C*-algebras