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A twisted spectral triple for quantum SU(2)

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arxiv 1109.2326 v1 pith:YMHK2YWT submitted 2011-09-11 math.QA math.OA

Jens Kaad , Roger Senior This is my paper · ORCID
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We initiate the study of a q-deformed geometry for quantum SU(2). In contrast with the usual properties of a spectral triple, we get that only twisted commutators between algebra elements and our Dirac operator are bounded. Furthermore, the resolvent only becomes compact when measured with respect to a trace on a semifinite von Neumann algebra which does not contain the quantum group. We show that the zeta function at the identity has a meromorphic continuation to the whole complex plane and that a large family of local Hochschild cocycles associated with our twisted spectral triple are twisted coboundaries.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. How to approximate the flat spectral triple of a quantum torus by fuzzy tori : a twisted tale

    math.OA 2026-07 unverdicted novelty 7.0 of 10

    Fuzzy tori converge to the flat torus Dirac triple via an extension of spectral propinquity to twisted spectral triples with unbounded twists.

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