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EXACTNESS AND UNIFORM EMBEDDABILITY OF DISCRETE GROUPS

Published online by Cambridge University Press:  03 December 2004

ERIK GUENTNER  and
JEROME KAMINKER
ERIK GUENTNER
Affiliation:
Mathematics Department, University of Hawai'i, Mānoa, 2565 McCarthy Mall, Honolulu, HI 96822, USAerik@math.hawaii.edu
JEROME KAMINKER
Affiliation:
Department of Mathematical Sciences, Indiana University – Purdue University, 402 N. Blackford Street, Indianapolis, IN 46202-3216, USAkaminker@math.iupui.edu
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Abstract

A numerical quasi-isometry invariant $R(\Gamma)$ of a finitely generated group $\Gamma$ is defined whose values parametrize the difference between $\Gamma$ being uniformly embeddable in a Hilbert space and $C^{*}_{r}(\Gamma)$ being exact.

Keywords

46L80
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 70 , Issue 3 , December 2004 , pp. 703 - 718
Copyright
The London Mathematical Society 2004

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