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.
Original language | English (US) |
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Pages (from-to) | 429-459 |
Number of pages | 31 |
Journal | Proceedings of the Edinburgh Mathematical Society |
Volume | 55 |
Issue number | 2 |
DOIs | |
State | Published - Jun 2012 |
Keywords
- C*-crossed product
- adele ring
- number field
ASJC Scopus subject areas
- General Mathematics