Dirac operator and a twisted cyclic cocycle on the standard Podles quantum sphere

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

A Dirac operator D on the standard Podles sphere is defined and investigated. It yields a spectral triple such that |D|^{-z} is of trace class for Re z>0. Commutators with the Dirac operator give the distinguished 2-dimensional covariant differential calculus on the standard Podles sphere. The twisted cyclic cocycle associated with the volume form of the differential calculus is expressed by means of the Dirac operator.
21 pages

Keywords

Quantum Algebra, Operator Algebras, 17B37; 46L87; 58B37; 81K50

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/134779

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0305051
 http://arxiv.org/abs/math/0305051
 J. Reine Angew. Math. 574 (2004), 219--235

Collections

arXiv