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46l05 (secondary)

Bulletin of the London Mathematical Society (1)

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EXACTNESS OF FREE AND AMENABLE GROUPS BY THE CONSTRUCTION OF OZAWA KERNELS
SARAH CAMPBELL
Journal:

Bulletin of the London Mathematical Society / Volume 38 / Issue 3 / June 2006

Published online by Cambridge University Press:

31 May 2006, pp. 441-446

Print publication:

June 2006
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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 $A$.