A note on tortrat groups

Dani, S. G. ; Raja, C. R. E. (1998) A note on tortrat groups Journal of Theoretical Probability, 11 (2). pp. 571-576. ISSN 0894-9840

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Official URL: http://www.springerlink.com/content/nw786x63963911...

Related URL: http://dx.doi.org/10.1023/A:1022600326181


A locally compact group G is called a Tortrat group if for any probability measure λ on G which is not idempotent, the closure of {gλ g -1 | gε G} does not contain any idempotent measure. We show that a connected Lie group G is a Tortrat group if and only if for all gε G all eigenvalues of Ad g are of absolute value 1. Together with well-known results this also implies that a connected locally compact group is a Tortrat group if and only if it is of polynomial growth.

Item Type:Article
Source:Copyright of this article belongs to Springer-Verlag.
Keywords:Probability Measure; Connected Lie Group; Tortrat Group
ID Code:8243
Deposited On:26 Oct 2010 12:04
Last Modified:30 May 2011 06:02

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