Cuntz-Li relations, Inverse semigroups and Groupoids
Operator Algebras
2012-04-02 v2
Abstract
In this paper we show that the universal C*-algebra satisfying the Cuntz-Li relations is generated by an inverse semigroup of partial isometries. We apply Exel's theory of tight representations to this inverse semigroup. We identify the universal C*-algebra as the C*-algebra of the tight groupoid associated to the inverse semigroup.
Keywords
Cite
@article{arxiv.1201.4620,
title = {Cuntz-Li relations, Inverse semigroups and Groupoids},
author = {S. Sundar},
journal= {arXiv preprint arXiv:1201.4620},
year = {2012}
}
Comments
Section 8 has undergone substantial revisions. More proofs added