A+ CATEGORY SCIENTIFIC UNIT

Equivariant Morita equivalences between Podleś spheres

Volume 98 / 2012

Kenny De Commer Banach Center Publications 98 (2012), 85-105 MSC: 17B37, 81R50, 46L08. DOI: 10.4064/bc98-0-5

Abstract

We show that the family of Podleś spheres is complete under equivariant Morita equivalence (with respect to the action of quantum $SU(2)$), and determine the associated orbits. We also give explicit formulas for the actions which are equivariantly Morita equivalent with the quantum projective plane. In both cases, the computations are made by examining the localized spectral decomposition of a generalized Casimir element.

Authors

  • Kenny De CommerDépartement de Mathématiques
    Université de Cergy-Pontoise
    UMR CNRS 8088
    F-95000 Cergy-Pontoise, France
    e-mail

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