English

Local index formula for SU_q(2)

Quantum Algebra 2010-11-19 v2

Abstract

We discuss the local index formula of Connes-Moscovici for the isospectral noncommutative geometry that we have recently constructed on quantum SU(2). We work out the cosphere bundle and the dimension spectrum as well as the local cyclic cocycles yielding the index formula.

Cite

@article{arxiv.math/0501287,
  title  = {Local index formula for SU_q(2)},
  author = {Walter van Suijlekom and Ludwik Dabrowski and Giovanni Landi and Andrzej Sitarz and Joseph C. Varilly},
  journal= {arXiv preprint arXiv:math/0501287},
  year   = {2010}
}

Comments

18 pages. v2: minor changes; to appear in K-theory