A crossed-product approach to the Cuntz-Li algebras

Details A crossed-product approach to the Cuntz-Li algebras A crossed-product approach to the Cuntz-Li algebras

2010-12-23

arxiv.org/abs/1012.5285v3

Mathematics

Operator Algebras

Major revision and rearrangement; split Section 6 in order to use the generators and relations from Section 9 in a better way

Scientific paper

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.

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