On the assembly map for complex semisimple quantum groups

Voigt, C. (2022) On the assembly map for complex semisimple quantum groups. International Mathematics Research Notices, 2022(13), pp. 9603-9632. (doi: 10.1093/imrn/rnaa370)

[img] Text
226509.pdf - Accepted Version

536kB

Abstract

We show that complex semisimple quantum groups, that is, Drinfeld doubles of q-deformations of compact semisimple Lie groups, satisfy a categorical version of the Baum–Connes conjecture with trivial coefficients. Our 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.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Voigt, Professor Christian
Authors: Voigt, C.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:International Mathematics Research Notices
Publisher:Oxford University Press
ISSN:1073-7928
ISSN (Online):1687-0247
Published Online:08 February 2021
Copyright Holders:Copyright © 2021 The Authors
First Published:First published in International Mathematics Research Notices 2022(13): 9603-9632
Publisher Policy:Reproduced in accordance with the copyright policy of the publisher

University Staff: Request a correction | Enlighten Editors: Update this record

Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
309470Quantum groups in actionChristian VoigtEngineering and Physical Sciences Research Council (EPSRC)EP/T03064X/1M&S - Mathematics