On freely generated semigraph $C^*$-algebras
Operator Algebras
2013-06-24 v2
Abstract
For special universal -algebras associated to -semigraphs we present the universal representations of these algebras, prove a Cuntz--Krieger uniqueness theorem, and compute the -theory. These -algebras seem to be the most universal Cuntz--Krieger like algebras naturally associated to -semigraphs. For instance, the Toeplitz Cuntz algebra is a proper quotient of such an algebra.
Keywords
Cite
@article{arxiv.1111.4392,
title = {On freely generated semigraph $C^*$-algebras},
author = {Bernhard Burgstaller},
journal= {arXiv preprint arXiv:1111.4392},
year = {2013}
}