Dirac operator and a twisted cyclic cocycle on the standard Podles quantum sphere
Quantum Algebra
2007-07-23 v2 Operator Algebras
Abstract
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.
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Cite
@article{arxiv.math/0305051,
title = {Dirac operator and a twisted cyclic cocycle on the standard Podles quantum sphere},
author = {Konrad Schmuedgen and Elmar Wagner},
journal= {arXiv preprint arXiv:math/0305051},
year = {2007}
}
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21 pages