A crossed-product approach to the Cuntz–Li algebras-Reference-Cited by-同舟云学术

A crossed-product approach to the Cuntz–Li algebras

Published:2012-04-12 Issue:2 Volume:55 Page:429-459
ISSN:0013-0915
Container-title:Proceedings of the Edinburgh Mathematical Society
language:en
Short-container-title:Proceedings of the Edinburgh Mathematical Society

Author:

Kaliszewski S.,Landstad Magnus B.,Quigg John

Abstract

AbstractCuntz and Li have defined aC*-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 commutativeC*-algebra. We give an approach to a class ofC*-algebras containing those studied by Cuntz and Li, using the general theory ofC*-dynamical systems associated to certain semidirect product groups. Even for the special case of the Cuntz–Li algebras, our development is new.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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