Exactness of Free and Amenable Groups by the Construction of Ozawa Kernels |
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| Authors: | Campbell Sarah |
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| Institution: | School of Mathematics, University of Southampton Highfield, Southampton SO17 1BJ, United Kingdom; sjc{at}maths.soton.ac.uk |
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| Abstract: | Using properties of their Cayley graphs, specific examples ofOzawa kernels are constructed for both free and amenable groups,thus showing that these groups satisfy Property O. It is deducedboth that these groups are exact and satisfy Yu's Property A.2000 Mathematics Subject Classification 20F65 (primary), 46l05(secondary). |
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