Bulletin of the London Mathematical Society 1994 26(5):459-464; doi:10.1112/blms/26.5.459
© 1994 by London Mathematical Society
© London Mathematical Society
Kazhdan Constants for the Circle
Annabel Deutsch
Institut de Mathématiques Chantemerle 20 2007 Neuchâtel Switzerland
Received 6 April 1993.
We calculate the Kazhdan constant for the circle group, with the whole group as generating set, and we look briefly at the constants for some smaller generating sets. We show that a certain restriction of the right regular representation always gives the Kazhdan constant for a compact abelian group.
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