On the assembly map for complex semisimple quantum groups
K-Theory and Homology
2020-12-21 v2 Quantum Algebra
Abstract
We show that complex semisimple quantum groups, that is, Drinfeld doubles of -deformations of compact semisimple Lie groups, satisfy a categorical version of the Baum-Connes conjecture with trivial coefficients. This approach, based on homological algebra in triangulated categories, is compatible with the previously studied deformation picture of the assembly map, and allows us to define an assembly map with arbitrary coefficients for these quantum groups.
Cite
@article{arxiv.1912.08646,
title = {On the assembly map for complex semisimple quantum groups},
author = {Christian Voigt},
journal= {arXiv preprint arXiv:1912.08646},
year = {2020}
}
Comments
20 pages. Revised version, to appear in IMRN