A crossed-product approach to the Cuntz-Li algebras
Operator Algebras
2011-08-29 v3
Abstract
Cuntz and Li have defined a C*-algebra associated to any integral domain, using generators and relations, and proved that it is simple and purely infinite and that it is stably isomorphic to a crossed product of a commutative C*-algebra. We give an approach to a class of C*-algebras containing those studied by Cuntz and Li, using the general theory of C*-dynamical systems associated to certain semidirect product groups. Even for the special case of the Cuntz-Li algebras, our development is new.
Keywords
Cite
@article{arxiv.1012.5285,
title = {A crossed-product approach to the Cuntz-Li algebras},
author = {S. Kaliszewski and M. Landstad and John Quigg},
journal= {arXiv preprint arXiv:1012.5285},
year = {2011}
}
Comments
Major revision and rearrangement; split Section 6 in order to use the generators and relations from Section 9 in a better way