Uniformly finite homology and amenable groups
نویسندگان
چکیده
منابع مشابه
Thompson’s Group F and Uniformly Finite Homology
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 (in the Følner sense). This shows that if F is amenable, these subsets (which include every finitely generated submonoid of the posi...
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We study the Lp-distorsion of finite quotients of amenable groups. In particular, for every 2 ≤ p < ∞ we prove that the lp-distorsions of the groups C2 ≀Cn and Cpn ⋉Cn are in Θ((log n) 1/p), and that the lp-distorsion of C2 n ⋉A Z, where A is the matrix (
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ژورنال
عنوان ژورنال: Algebraic & Geometric Topology
سال: 2015
ISSN: 1472-2739,1472-2747
DOI: 10.2140/agt.2015.15.467