Equivariant Morita equivalences between Podleś spheres

• Autorzy: Kenny De Commer
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 46L08: C * -modules
• 17B37: Quantum groups (quantized enveloping algebras) and related deformations
• 81R50: Quantum groups and related algebraic methods

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2012
• Tom: 98
• Numer: 1
• Strony: 85-105

Daty

wydano

2012

Twórcy

autor

Kenny De Commer

• Département de Mathématiques, Université de Cergy-Pontoise, UMR CNRS 8088, F-95000 Cergy-Pontoise, France

Identyfikatory

DOI

10.4064/bc98-0-5