The Regular C*-algebra of an Integral Domain
Cuntz, Joachim ; Li, Xin
arXiv, 0807.1407 / Harvested from arXiv
Text on arXiv
To each integral domain R with finite quotients we associate a purely infinite simple C*-algebra in a very natural way. Its stabilization can be identified with the crossed product of the algebra of continuous functions on the "finite adele space" corresponding to R by the action of the ax+b-group over the quotient field Q(R). We study the relationship to generalized Bost-Connes systems and deduce for them a description as universal C*-algebras with the help of our construction.
Publié le : 2008-07-09
Classification:  Mathematics - Operator Algebras,  58B34, 46L05 (Primary) 11R04, 11R56 (Secondary) 
@article{0807.1407,
     author = {Cuntz, Joachim and Li, Xin},
     title = {The Regular C*-algebra of an Integral Domain},
     journal = {arXiv},
     volume = {2008},
     number = {0},
     year = {2008},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0807.1407}
}

Cuntz, Joachim; Li, Xin. The Regular C*-algebra of an Integral Domain. arXiv, Tome 2008 (2008) no. 0, . http://gdmltest.u-ga.fr/item/0807.1407/