Exactness of free and amenable groups by the construction of Ozawa kernels

Details Exactness of free and amenable groups by the construction of Ozawa kernels Exactness of free and amenable groups by the construction of Ozawa kernels

2004-09-15

arxiv.org/abs/math/0409248v2

Mathematics

Group Theory

7 pages. Typos corrected. Bibliographical data updated. Abstract amended to comment that we can deduce that these groups satis

Scientific paper

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.

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