A residue formula for the fundamental Hochschild 3-cocycle for SUq(2)
Operator Algebras
2011-05-27 v1 Quantum Algebra
Abstract
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.
Cite
@article{arxiv.1105.5366,
title = {A residue formula for the fundamental Hochschild 3-cocycle for SUq(2)},
author = {Ulrich Kraehmer and Adam Rennie and Roger Senior},
journal= {arXiv preprint arXiv:1105.5366},
year = {2011}
}
Comments
26 pages