English

Twisted Homology of Quantum SL(2) - Part II

Quantum Algebra 2010-08-13 v2 K-Theory and Homology

Abstract

We complete the calculation of the twisted cyclic homology of the quantised coordinate ring of SL(2) that we began in math.QA/0405249. In particular, a nontrivial cyclic 3-cocycle is constructed which also has a nontrivial class in Hochschild cohomology and thus should be viewed as a noncommutative geometry analogue of a volume form.

Keywords

Cite

@article{arxiv.0711.4102,
  title  = {Twisted Homology of Quantum SL(2) - Part II},
  author = {Tom Hadfield and Ulrich Kraehmer},
  journal= {arXiv preprint arXiv:0711.4102},
  year   = {2010}
}

Comments

23 pages, final version accepted for publication. To appear in Journal of K-Theory