arXiv:0806.2877 Abstract | arXiv Analytics

arXiv:0806.2877 [math.GR]Abstract References Reviews Resources

Thompson's Group F and Uniformly Finite Homology

Published 2008-06-17, updated 2009-03-11Version 2

This paper demonstrates the uniformly finite homology developed by Block and Weinberger and its relationship to amenable spaces via applications to the Cayley graph of Thompson's Group F. In particular, a certain class of subgraph of F is shown to be non-amenable. This shows that if F is amenable, these subsets (which include every finitely generated submonoid of the positive monoid of F) must necessarily have measure zero.

Comments: pdfLaTex, 17 pages, 11 figures

Categories: math.GR

Subjects: 20F65

Keywords: thompsons group, paper demonstrates, cayley graph, measure zero, uniformly finite homology

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