- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:14
Journal of Noncommutative Geometry
J. Noncommut. Geom.
JNCG
1661-6952
1661-6960
Global analysis, analysis on manifolds
General
10.4171/JNCG
http://www.ems-ph.org/doi/10.4171/JNCG
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European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society
9
2015
4
Compact quantum metric spaces from quantum groups of rapid decay
Jyotishman
Bhowmick
Indian Statistical Institute, KOLKATA, INDIA
Christian
Voigt
University of Glasgow, GLASGOW, UNITED KINGDOM
Joachim
Zacharias
University of Glasgow, GLASGOW, UNITED KINGDOM
Compact quantum metric spaces, compact quantum groups, noncommutative geometry, spectral triples, rapid decay
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.
Associative rings and algebras
Quantum theory
1175
1200
10.4171/JNCG/220
http://www.ems-ph.org/doi/10.4171/JNCG/220