Thompson's Group F and Uniformly Finite Homology
| dc.creator | Staley, Dan | |
| dc.date | 2008-06-17 | |
| dc.date | 2009-03-11 | |
| dc.date.accessioned | 2026-07-07T12:50:43Z | |
| dc.date.available | 2026-07-07T12:50:43Z | |
| dc.description | 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. | |
| dc.description | pdfLaTex, 17 pages, 11 figures | |
| dc.identifier | https://arxiv.org/abs/0806.2877 | |
| dc.identifier | http://arxiv.org/abs/0806.2877 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/222766 | |
| dc.subject | Group Theory | |
| dc.subject | 20F65 | |
| dc.title | Thompson's Group F and Uniformly Finite Homology | |
| dc.type | text |