Geodesic
A Residue Formula for the Fundamental Hochschild 3-Cocycle for SUq(2)
Journal of Lie theory, Tome 22 (2012) no. 2, pp. 557-585.

Voir la notice de l'article provenant de la source Heldermann Verlag

An analogue of a spectral triple over SUq(2) is constructed for which the usual assumption of bounded commutators with the Dirac operator fails. An analytic expression analogous to that for the Hochschild class of the Chern character for spectral triples yields a non-trivial twisted Hochschild 3-cocycle. The problems arising from the unbounded commutators are overcome by defining a residue functional using projections to cut down the Hilbert space.
Classification : 19K33, 19K56, 20G42, 46L80, 46L87,, 58B32, 58B34, 58J42, 58J20, 81R50
Mots-clés : Spectral triples, Dirac operators, cyclic cohomology, quantum groups, quantum SU(2), residue formulas, Calabi-Yau algebras 
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     author = {U. Kr�hmer and A. Rennie and R. Senior },
     title = {A {Residue} {Formula} for the {Fundamental} {Hochschild} {3-Cocycle} for {SU\protect\textsubscript{q}(2)}},
     journal = {Journal of Lie theory},
     pages = {557--585},
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     volume = {22},
     number = {2},
     year = {2012},
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U. Kr�hmer; A. Rennie; R. Senior . A Residue Formula for the Fundamental Hochschild 3-Cocycle for SUq(2). Journal of Lie theory, Tome 22 (2012) no. 2, pp. 557-585. http://geodesic.mathdoc.fr/item/JLT_2012_22_2_JLT_2012_22_2_a11/