Results 11 to 20 of about 467,085 (284)
Dynamical quasitilings of amenable group
Bulletin of the Polish Academy of Sciences Mathematics, 2017 We prove that for any compact zero-dimensional metric space $X$ on which an infinite countable amenable group $G$ acts freely by homeomorphisms, there exists a dynamical quasitiling with good covering, continuity, F{\o}lner and dynamical properties, i.e ...
Lin, Chia-Wei +2 more
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Some non-amenable groups [PDF]
Publicacions Matemàtiques, 2012 We generalize a result of R. Thomas to establish the non-vanishing of the first l2-Betti number for a class of finitely generated groups.
Kar, Aditi, Niblo, Graham A.
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Amenable actions of groups [PDF]
Transactions of the American Mathematical Society, 1994 Summary: The equivalence between different characterizations of amenable actions of a locally compact group is proved. In particular, this answers a question raised by R. J. Zimmer in 1977.
Adams, Scot +2 more
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Leptin Densities in Amenable Groups
Journal of Fourier Analysis and Applications, 2022 AbstractConsider a positive Borel measure on a locally compact group. We define a notion of uniform density for such a measure, which is based on a group invariant introduced by Leptin in 1966. We then restrict to unimodular amenable groups and to translation bounded measures.
Felix Pogorzelski +2 more
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Amenable hyperbolic groups [PDF]
Journal of the European Mathematical Society, 2015 We give a complete characterization of the locally compact groups that are non elementary Gromov-hyperbolic and amenable. They coincide with the class of mapping tori of discrete or continuous one-parameter groups of compacting automorphisms. We moreover give a description of all Gromov-hyperbolic locally compact groups with a cocompact amenable ...
Pierre-Emmanuel Caprace +3 more
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Some extremely amenable groups [PDF]
, 2001 A topological group $G$ is extremely amenable if every continuous action of $G$ on a compact space has a fixed point. Using the concentration of measure techniques developed by Gromov and Milman, we prove that the group of automorphisms of a Lebesgue ...
Giordano, Thierry, Pestov, Vladimir
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Unicorn paths and hyperfiniteness for the mapping class group
Forum of Mathematics, Sigma, 2021 Let S be an orientable surface of finite type. Using Pho-on’s infinite unicorn paths, we prove the hyperfiniteness of orbit equivalence relations induced by the actions of the mapping class group of S on the Gromov boundaries of the arc graph and the ...
Piotr Przytycki, Marcin Sabok
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Nature Communications, 2021 Oxidative allylic C–H functionalizations minimise the need for functional group activation and generate alkenyl-substituted products amenable to further chemical modifications. Here the authors report an oxidant-free, electrocatalytic approach to achieve
Chen-Yan Cai +5 more
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Optimized protocol for immunophenotyping of melanoma and tumor-bearing skin from mouse
STAR Protocols, 2021 Summary: While isolating immune cells from spleens and lungs is routinely achieved using flow cytometry, it is challenging to isolate viable immune cells from skin.
Sai Sakktee Krisna +7 more
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On Uniformly Amenable Groups [PDF]
Proceedings of the American Mathematical Society, 1988 We consider the conditions of the uniform amenability of discrete groups. The equivalence of the uniform Følner and Kesten conditions is proved. Also an example of the group which is amenable but not uniformly amenable is given.
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