Rapid decay and Metric Approximation Property

Details Rapid decay and Metric Approximation Property Rapid decay and Metric Approximation Property

2004-03-24

arxiv.org/abs/math/0403423v2

Mathematics

Group Theory

A minor revision with a definition added

Scientific paper

Let Gamma be a discrete group satisfying the rapid decay property with respect to a length function which is conditionally negative. Then the reduced C*-algebra of Gamma has the metric approximation property. The central point of our proof is an observation that the proof of the same property for free groups due to Haagerup transfers directly to this more general situation. Examples of groups satisfying the hypotheses include free groups, surface groups, finitely generated Coxeter groups, right angled Artin groups and many small cancellation groups.

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