Abstract
We propose a slight modification of the properties of a spectral geometry à la Connes, which allows for some of the algebraic relations to be satisfied only modulo compact operators. On the equatorial Podleś sphere we construct U q ( su ( 2 ) ) -equivariant Dirac operator and real structure which satisfy these modified properties. To cite this article: L. Da̧browski et al., C. R. Acad. Sci. Paris, Ser. I 340 (2005).
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