München 2009 – scientific programme
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MP: Fachverband Theoretische und Mathematische Grundlagen der Physik
MP 11: Nichtkommutative Geometrie
MP 11.1: Talk
Thursday, March 12, 2009, 14:00–14:20, M010
Free quantum groups and their non-commutative geometry — •Andreas Thom — Mathematisches Institut der Georg-August Universität Göttingen, Bunsenstr. 3-5, 37073 Göttingen, Germany
We compute the Hochschild homology of the free orthogonal quantum group Ao(n). We show that it satisfies Poincare duality and should be considered to be a 3-dimensional manifold. We study the Dirac operator related to the Casimir of the action of O(n). In part, this extends work on the (more) classical q-deformations of SU(2).