Quantum lens spaces and principal actions on graph C*-algebras
Quantum Algebra
2007-05-23 v1 Operator Algebras
Abstract
We study certain principal actions on noncommutative C*-algebras. Our main examples are the Z_p- and T-actions on the odd-dimensional quantum spheres, yielding as fixed-point algebras quantum lens spaces and quantum complex projective spaces, respectively. The key tool in our analysis is the relation of the ambient C*-algebras with the Cuntz-Krieger algebras of directed graphs. A general result about the principality of the gauge action on graph algebras is given.
Keywords
Cite
@article{arxiv.math/0209400,
title = {Quantum lens spaces and principal actions on graph C*-algebras},
author = {Wojciech Szymanski},
journal= {arXiv preprint arXiv:math/0209400},
year = {2007}
}
Comments
Latex, 6 pages