Exactness of free and amenable groups by the construction of Ozawa kernels
classification
🧮 math.GR
keywords
groupsamenablefreekernelsozawapropertysatisfycayley
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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.
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