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EXACTNESS OF FREE AND AMENABLE GROUPS BY THE CONSTRUCTION OF OZAWA KERNELS

Published online by Cambridge University Press:  31 May 2006

SARAH CAMPBELL
SARAH CAMPBELL
Affiliation:
School of Mathematics, University of Southampton, Highfield, Southampton SO17 1BJ, United Kingdomsjc@maths.soton.ac.uk
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Abstract

Using properties of their Cayley graphs, specific examples of Ozawa kernels are constructed for both free and amenable groups, thus showing that these groups satisfy Property $O$. It is deduced both that these groups are exact and satisfy Yu's Property $A$.

Keywords

20F65 (primary)46l05 (secondary)
Type
Papers
Information
Bulletin of the London Mathematical Society , Volume 38 , Issue 3 , June 2006 , pp. 441 - 446
Copyright
© The London Mathematical Society 2006

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Footnotes

Supported by EPSRC.