Partial Semigroup Algebras Associated to Partial Actions
Operator Algebras
2016-02-26 v2
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.
Cite
@article{arxiv.1504.04990,
title = {Partial Semigroup Algebras Associated to Partial Actions},
author = {B. Tabatabaie Shourijeh and S. Moayeri Rahni},
journal= {arXiv preprint arXiv:1504.04990},
year = {2016}
}