q-Index on braided non-commutative spheres
Quantum Algebra
2007-05-23 v2
Abstract
To some Hecke symmetries (i.e. Yang-Baxter braidings of Hecke type) we assign algebras called braided non-commutative spheres. For any such algebra, we introduce and compute a q-analog of the Chern-Connes index. Unlike the standard Chern-Connes index, ours is based on the so-called categorical trace specific for a braided category in which the algebra in question is represented.
Cite
@article{arxiv.math/0207268,
title = {q-Index on braided non-commutative spheres},
author = {D. Gurevich and R. Leclercq and P. Saponov},
journal= {arXiv preprint arXiv:math/0207268},
year = {2007}
}
Comments
Essentially revised version. Latex file, 22 pages, no figures