Compact quantum metric spaces from quantum groups of rapid decay

Authors

Jyotishman Bhowmick, Indian Statistical Institute, Kolkata
Christian Voigt, University of Glasgow
Joachim Zacharias, University of Glasgow

Article Type

Research Article

Publication Title

Journal of Noncommutative Geometry

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.

First Page

1175

Last Page

1200

DOI

10.4171/JNCG/220

Publication Date

1-1-2016

Comments

Open Access; Bronze Open Access

Recommended Citation

Bhowmick, Jyotishman; Voigt, Christian; and Zacharias, Joachim, "Compact quantum metric spaces from quantum groups of rapid decay" (2016). Journal Articles. 4149.
https://digitalcommons.isical.ac.in/journal-articles/4149