$C^*$-algebras generated by the paths semigroup
Operator Algebras
2016-11-02 v3 Mathematical Physics
Functional Analysis
math.MP
Abstract
In this paper we study the structure of the -algebra, generated by the representation of the paths semigroup on a partially ordered set (poset) and get the net of isomorphic -algebras over this poset. We construct the extensions of this algebra, such that the algebra is an ideal in that extensions and quotient algebras are isomorphic to the Cuntz algebra.
Keywords
Cite
@article{arxiv.1608.02086,
title = {$C^*$-algebras generated by the paths semigroup},
author = {Suren Grigoryan and Tamara Grigoryan and Ekaterina Lipacheva and Airat Sitdikov},
journal= {arXiv preprint arXiv:1608.02086},
year = {2016}
}
Comments
12 pages