The Property of Rapid Decay for Discrete Quantum Groups

Abstract

We introduce the Property of Rapid Decay for discrete quantum groups by equivalent characterizations that generalize the classical ones. We then investigate examples, proving in particular the Property of Rapid Decay for unimodular free quantum groups. We finally check that the applications to the K-theory of the reduced group C*-algebras carry over to the quantum case.

arXiv comment25 pages ; late posting of an old article

References in corpus (1)

• Orientation of quantum Cayley trees and applications

Cited by in corpus (10)

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• Higher l^2-Betti numbers of universal quantum groups
• Growth estimates for discrete quantum groups
• Quantum permutation groups: a survey
• Entropic uncertainty relations under localizations on discrete quantum groups
• Rapid decay and polynomial growth for bicrossed products