Výsledky vyhledávání - "Martin Finn-Sell"

Unrestricted wreath products and sofic groups

Autor: Martin Finn-Sell, Lev Glebsky, Goulnara Arzhantseva, Federico Berlai

Publikováno v: International Journal of Algebra and Computation. 29:343-355

We show that the unrestricted wreath product of a sofic group by an amenable group is sofic. We use this result to present an alternative proof of the known fact that any group extension with sofic kernel and amenable quotient is again a sofic group.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1696983885b6bf4fd73301e669732a42
https://doi.org/10.1142/s021819671950005x

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Almost quasi-isometries and more non-C*-exact groups

Autor: Martin Finn-Sell

Publikováno v: Mathematical Proceedings of the Cambridge Philosophical Society. 162:393-403

We study permanence results for almost quasi-isometries, the maps arising from the Gromov construction of finitely generated random groups that contain expanders (and hence that are notC*-exact). We show that the image of a sequence of finite graphs

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::4efbb784e053259835b4d6de459548ce
https://doi.org/10.1017/s0305004116000529

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On the Baum–Connes conjecture for Gromov monster groups

Autor: Martin Finn-Sell

Publikováno v: Journal of Noncommutative Geometry. 10:203-215

We present a geometric approach to the Baum-Connes conjecture with coecients for Gromov monster groups via a theorem of Khoskham and Skandalis. Secondly, we use recent results concerning the a-T-menability at infinity of large girth expanders to exhi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::2fa4e2b924dd979d293366297eadc9e9
https://doi.org/10.4171/jncg/231

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Fibred coarse embeddings, a-T-menability and the coarse analogue of the Novikov conjecture

Autor: Martin Finn-Sell

Publikováno v: Journal of Functional Analysis. 267:3758-3782

The connection between the coarse geometry of metric spaces and analytic properties of topological groupoids is well known. One of the main results of Skandalis, Tu and Yu is that a space admits a coarse embedding into Hilbert space if and only if a

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::e4921cd798b53ea7cce17c341af4344f
https://doi.org/10.1016/j.jfa.2014.09.012

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Spaces of graphs, boundary groupoids and the coarse Baum–Connes conjecture

Autor: Martin Finn-Sell, Nick Wright

Publikováno v: Advances in Mathematics. 259:306-338

We introduce a new variant of the coarse Baum-Connes conjecture designed to tackle coarsely disconnected metric spaces called the boundary coarse Baum-Connes conjecture. We prove this conjecture for many coarsely disconnected spaces that are known to

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a0e673bceb2469a06067826ebf26a2fd
https://doi.org/10.1016/j.aim.2014.02.029

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Non-amenable principal groupoids with weak containment

Autor: Vadim Alekseev, Martin Finn-Sell

We construct examples of principal groupoids that have weak containment but are not amenable, thus answering questions by Claire Anantharaman-Delaroche and Rufus Willett.
6 pages

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c26d1f517300bfd5cbd4d77b3a029bc1
http://arxiv.org/abs/1606.07499

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Sofic boundaries of groups and coarse geometry of sofic approximations

Autor: Martin Finn-Sell, Vadim Alekseev

Sofic groups generalise both residually finite and amenable groups, and the concept is central to many important results and conjectures in measured group theory. We introduce a topological notion of a sofic boundary attached to a given sofic approxi

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Subsemigroup, ideal and congruence growth of free semigroups

Autor: Robert Snocken, Alex Bailey, Martin Finn-Sell

Using Rees index, the subsemigroup growth of free semigroups is investigated. Lower and upper bounds for the sequence are given and it is shown to have superexponential growth of strict type $n^n$ for finite free rank greater than 1. It is also shown

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::82ba70dd9cf5bdfa1554bd8d9f004252

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