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The Spectral Geometry of the Equatorial Podles Sphere

Ludwik Dabrowski, Giovanni Landi, Mario Paschke, Andrzej Sitarz

math.QAarXiv:math/0408034

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.

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