Graph C*-algebras and Z/2Z-quotients of quantum spheres
Quantum Algebra
2009-11-07 v3 K-Theory and Homology
Operator Algebras
Abstract
We consider two Z/2Z-actions on the Podles generic quantum spheres. They yield, as noncommutative quotient spaces, the Klimek-Lesniewski q-disc and the quantum real projective space, respectively. The C*-algebras of all these quantum spaces are described as graph C*-algebras. The K-groups of the thus presented C*-algebras are then easily determined from the general theory of graph C*-algebras. For the quantum real projective space, we also recall the classification of the classes of irreducible *-representations of its algebra and give a linear basis for this algebra.
Cite
@article{arxiv.math/0209268,
title = {Graph C*-algebras and Z/2Z-quotients of quantum spheres},
author = {P. M. Hajac and R. Matthes and W. Szymanski},
journal= {arXiv preprint arXiv:math/0209268},
year = {2009}
}
Comments
8 pages, latex2e