Actions of inverse semigroups arising from partial actions of groups

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:363

Article

Exel, R.¹  Vieira, F.¹ 

[1] Univ Munster, Dept Math, Munster, Germany

关键词: Groups;    Inverse semigroups;    Actions;    Partial actions;    Crossed products;    Covariant representations;   

DOI  :  10.1016/j.jmaa.2009.08.001

来源: Elsevier

【 摘 要 】

In this work we present a definition of crossed product for actions of inverse semigroups on C*-algebras, without resorting to covariant representations as done by Sieben in related work. We also show the existence of an isomorphism between the crossed product by a partial action of a group G and the crossed product by a related action of S(G), an inverse semigroup associated to G introduced by the first named author. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free