The Spectral Geometry of the Equatorial Podles Sphere

Details The Spectral Geometry of the Equatorial Podles Sphere The Spectral Geometry of the Equatorial Podles Sphere

2004-08-03

arxiv.org/abs/math/0408034v2

C. R. Acad. Sci. Paris, Ser. I 340, 2005, 819-822

Mathematics

Quantum Algebra

6 pages. Latex. V2: Minor changes; to appear in Comptes Rendus Mathematique

Scientific paper

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.

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