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ISSN 1088-6826(e) ISSN 0002-9939(p)

On the degree of rapid decay

Author(s): Bogdan Nica
Journal: Proc. Amer. Math. Soc. 138 (2010), 2341-2347.
MSC (2010): Primary 20F99, 22D15, 46E39
Posted: March 4, 2010
MathSciNet review: 2607863
Retrieve article in: PDF

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Abstract: A finitely generated group $\Gamma$ equipped with a word-length is said to satisfy property RD if there are $C, s\geq 0$ such that, for all non-negative integers , we have $\Vert a\Vert\leq C (1+n)^s \Vert a\Vert _2$ whenever $a\in\mathbb{C}\Gamma$ is supported on elements of length at most .

We show that, for infinite $\Gamma$ , the degree is at least .

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