Zobrazeno 1 - 8
of 8
pro vyhledávání: '"Martin Finn-Sell"'
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
https://doi.org/10.1142/s021819671950005x
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
https://doi.org/10.1017/s0305004116000529
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
https://doi.org/10.4171/jncg/231
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
https://doi.org/10.1016/j.jfa.2014.09.012
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
https://doi.org/10.1016/j.aim.2014.02.029
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
6 pages
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c26d1f517300bfd5cbd4d77b3a029bc1
http://arxiv.org/abs/1606.07499
http://arxiv.org/abs/1606.07499
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
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2fb41f0d043a311f6969f8fc051d782d
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