The Spectral Geometry of the Equatorial Podles Sphere
Quantum Algebra
2007-05-23 v2 Mathematical Physics
math.MP
Abstract
We propose a slight modification of the properties of a spectral geometry a la Connes, which allows for some of the algebraic relations to be satisfied only modulo compact operators. On the equatorial Podles sphere we construct suq2-equivariant Dirac operator and real structure which satisfy these modified properties.
Keywords
Cite
@article{arxiv.math/0408034,
title = {The Spectral Geometry of the Equatorial Podles Sphere},
author = {Ludwik Dabrowski and Giovanni Landi and Mario Paschke and Andrzej Sitarz},
journal= {arXiv preprint arXiv:math/0408034},
year = {2007}
}
Comments
6 pages. Latex. V2: Minor changes; to appear in Comptes Rendus Mathematique