Zobrazeno 1 - 10
of 100
pro vyhledávání: '"Alekseev, Vadim"'
Autor:
Alekseev, Vadim, Thom, Andreas
We show that there are $2^{\aleph_0}$ non-isomorphic universal sofic groups. This proves a conjecture of Simon Thomas.
Comment: 14 pages
Comment: 14 pages
Externí odkaz:
http://arxiv.org/abs/2406.06741
In this note we study countable subgroups of the full group of a measure preserving equivalence relation. We provide various constraints on the group structure, the nature of the action, and on the measure of fixed point sets, that imply that the sub
Externí odkaz:
http://arxiv.org/abs/2309.08400
In this note we state a conjecture that characterizes unital C*-algebras for which the unitary group is amenable as a topological group in the norm topology. We prove the conjecture for simple, separable, stably finite, unital, $\mathcal Z$-stable, U
Externí odkaz:
http://arxiv.org/abs/2305.13181
Autor:
Alekseev, Vadim, Carderi, Alessandro
By classifying $S$-maximal amenable subgroups of algebraic groups over a global field of characteristic zero, we obtain a complete classification of maximal amenable subgroups up to commensurability in the respective arithmetic groups. Futhermore, we
Externí odkaz:
http://arxiv.org/abs/2210.11304
Autor:
Alekseev, Vadim, Thom, Andreas
We show that if a group G is mixed-identity-free, then the projective unitary group of its group von Neumann algebra contains a maximal discrete subgroup containing G. The proofs are elementary and make use of free probability theory. In addition, we
Externí odkaz:
http://arxiv.org/abs/2206.06704
Autor:
Alekseev, Vadim, Biz, Leonardo
We undertake a systematic study of the approximation properties of the topological and measurable versions of the coarse boundary groupoid associated to a sequence of finite graphs of bounded degree. On the topological side, we prove that asymptotic
Externí odkaz:
http://arxiv.org/abs/2112.14760
Autor:
Alekseev, Vadim
Two main objects of the research in this thesis are countable discrete groups and their operator algebras (C*-algebras and von Neumann algebras). Discrete groups are often succesfully studied using geometric and ergodic-theoretic methods, the corresp
Externí odkaz:
https://tud.qucosa.de/id/qucosa%3A76127
https://tud.qucosa.de/api/qucosa%3A76127/attachment/ATT-0/
https://tud.qucosa.de/api/qucosa%3A76127/attachment/ATT-0/
Autor:
Alekseev, Vadim, Finn-Sell, Martin
We provide a unified treatment of several results concerning full groups of ample groupoids and paradoxical decompositions attached to them. This includes a criterion for the full group of an ample groupoid being amenable as well as comparison of its
Externí odkaz:
http://arxiv.org/abs/1912.10767
Autor:
Alekseev, Vadim, Brugger, Rahel
We show a rigidity result for subfactors that are normalized by a representation of a lattice $\Gamma$ in a higher rank simple Lie group with trivial center into a finite factor. This implies that every subfactor of $L\Gamma$ which is normalized by t
Externí odkaz:
http://arxiv.org/abs/1903.04895
Autor:
Alekseev, Vadim, Kyed, David
Publikováno v:
Pacific J. Math. 298 (2019) 257-266
We provide a large class of discrete amenable groups for which the complex group ring has several C*-completions, thus providing partial evidence towards a positive answer to a question raised by Rostislav Grigorchuk, Magdalena Musat and Mikael R{\o}
Externí odkaz:
http://arxiv.org/abs/1806.10983