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On diameters of orbits of compact groups in unitary representations

Part of: Compact groups Measure-theoretic ergodic theory Locally compact groups and their algebras

Published online by Cambridge University Press:  09 April 2009

Annabel Deutsch  and
Alain Valette
Annabel Deutsch
Affiliation:
9 May bank Close Lichfield Shropshire WS14 9UJ, UK
Alain Valette
Affiliation:
Institut de MathématiquesRue Emile Argand 11 CH-2007 NeuchâtelSwitzerland e-mail: valette@maths.unine.ch
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Abstract

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For a compact group G, we compute the Kazhdan constants κ(G, G) obtained by taking G itself as a generating subset. We get κ(G, G) = if G is finite of order n, and κ(G, G) = if G is infinite.

MSC classification

Secondary: 22C05: Compact groups 22D10: Unitary representations of locally compact groups 28D15: General groups of measure-preserving transformations
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 59 , Issue 3 , December 1995 , pp. 308 - 312
Copyright
Copyright © Australian Mathematical Society 1995

References

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