English

Crossed Products by Partial Actions of Inverse Semigroups

Operator Algebras 2015-04-22 v1

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 GG an inverse semigroup SGS_G, and we will prove that there is a correspondence between the covariant representation of GG and covariant representation of SGS_G. Finally, we will explore a connection between crossed products of an inverse semigroup actions and crossed products by partial actions of inverse semigroups.

Keywords

Cite

@article{arxiv.1504.05327,
  title  = {Crossed Products by Partial Actions of Inverse Semigroups},
  author = {S. Moayeri Rahni and B. Tabatabaie Shourijeh},
  journal= {arXiv preprint arXiv:1504.05327},
  year   = {2015}
}

Comments

arXiv admin note: text overlap with arXiv:funct-an/9602006 by other authors