Bhowmick, J., Voigt, C. and Zacharias, J. (2015) Compact quantum metric spaces from quantum groups of rapid decay. Journal of Noncommutative Geometry, 9(4), pp. 1175-1200. (doi: 10.4171/JNCG/220)
|
Text
100914.pdf - Accepted Version 423kB |
Abstract
We present a modified version of the definition of property RD for discrete quantum groups given by Vergnioux in order to accommodate examples of non-unimodular quantum groups. Moreover we extend the construction of spectral triples associated to discrete groups with length functions, originally due to Connes, to the setting of quantum groups. For quantum groups of rapid decay we study the resulting spectral triples from the point of view of compact quantum metric spaces in the sense of Rieffel.
Item Type: | Articles |
---|---|
Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | Voigt, Professor Christian and Zacharias, Professor Joachim |
Authors: | Bhowmick, J., Voigt, C., and Zacharias, J. |
College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
Journal Name: | Journal of Noncommutative Geometry |
Publisher: | European Mathematical Society |
ISSN: | 1661-6952 |
ISSN (Online): | 1661-6960 |
Copyright Holders: | Copyright © 2014 European Mathematical Society |
First Published: | First published in Journal of Noncommutative Geometry 2015 |
Publisher Policy: | Reproduced in accordance with the copyright policy of the publisher |
Related URLs: |
University Staff: Request a correction | Enlighten Editors: Update this record