Zobrazeno 1 - 10
of 65
pro vyhledávání: '"Drimbe, Daniel"'
Autor:
Drimbe, Daniel, Houdayer, Cyril
We show that orbit equivalence relations arising from essentially free ergodic probability measure preserving actions of Zariski dense discrete subgroups of simple algebraic groups are strongly prime. As a consequence, we prove the existence and the
Externí odkaz:
http://arxiv.org/abs/2407.01806
We prove that if $A$ is a non-separable abelian tracial von Neuman algebra then its free powers $A^{*n}, 2\leq n \leq \infty$, are mutually non-isomorphic and with trivial fundamental group, $\mathcal F(A^{*n})=1$, whenever $2\leq n<\infty$. This set
Externí odkaz:
http://arxiv.org/abs/2308.05671
In \cite{CDD22} we investigated the structure of $\ast$-isomorphisms between von Neumann algebras $L(\Gamma)$ associated with graph product groups $\Gamma$ of flower-shaped graphs and property (T) wreath-like product vertex groups as in \cite{CIOS21}
Externí odkaz:
http://arxiv.org/abs/2304.05500
Autor:
Drimbe, Daniel
We single out a large class of groups ${\mathscr{M}}$ for which the following unique prime factorization result holds: if $\Gamma_1,\dots,\Gamma_n\in {\mathscr{M}}$ and $\Gamma_1\times\dots\times\Gamma_n$ is measure equivalent to a product $\Lambda_1
Externí odkaz:
http://arxiv.org/abs/2209.13320
In this paper we study various rigidity aspects of the von Neumann algebra $L(\Gamma)$ where $\Gamma$ is a graph product group \cite{Gr90} whose underlying graph is a certain cycle of cliques and the vertex groups are the wreath-like product property
Externí odkaz:
http://arxiv.org/abs/2209.12996
In the first part of the paper we survey several results from Popa's deformation/rigidity theory on the classification of tensor product decompositions of large natural classes of II$_1$ factors. Using a m\'elange of techniques from deformation/rigid
Externí odkaz:
http://arxiv.org/abs/2208.00259
We prove that every separable tracial von Neumann algebra embeds into a II$_1$ factor with property (T) which can be taken to have trivial outer automorphism and fundamental groups. We also establish an analogous result for the trivial extension over
Externí odkaz:
http://arxiv.org/abs/2205.07442
Autor:
Drimbe, Daniel, Vaes, Stefaan
Publikováno v:
Mathematische Annalen 386 (2023), 2015-2059
An essentially free group action of $\Gamma$ on $(X,\mu)$ is called W*-superrigid if the crossed product von Neumann algebra $L^\infty(X) \rtimes \Gamma$ completely remembers the group $\Gamma$ and its action on $(X,\mu)$. We prove W*-superrigidity f
Externí odkaz:
http://arxiv.org/abs/2107.06159
In this paper we explore a generic notion of superrigidity for von Neumann algebras $L(G)$ and reduced $C^*$-algebras $C^*_r(G)$ associated with countable discrete groups $G$. This allows us to classify these algebras for various new classes of group
Externí odkaz:
http://arxiv.org/abs/2107.05976
Autor:
Drimbe, Daniel
We provide a new large class of countable icc groups $\mathcal A$ for which the product rigidity result from [CdSS15] holds: if $\Gamma_1,\dots,\Gamma_n\in\mathcal A$ and $\Lambda$ is any group such that $L(\Gamma_1\times\dots\times\Gamma_n)\cong L(\
Externí odkaz:
http://arxiv.org/abs/2012.04089