Zobrazeno 1 - 10
of 287
pro vyhledávání: '"IOANA, Adrian"'
We prove that the space of traces $\text{T}(A)$ of the unital full free product $A=A_1*A_2$ of two unital, separable $C^*$-algebras $A_1$ and $A_2$ is typically a Poulsen simplex, i.e., a simplex whose extreme points are dense. We deduce that $\text{
Externí odkaz:
http://arxiv.org/abs/2407.15985
For a class of wreath-like product groups with property (T), we describe explicitly all the embeddings between their von Neumann algebras. This allows us to provide a continuum of ICC groups with property (T) whose von Neumann algebras are pairwise n
Externí odkaz:
http://arxiv.org/abs/2402.19461
Autor:
Houdayer, Cyril, Ioana, Adrian
We prove novel asymptotic freeness results in tracial ultraproduct von Neumann algebras. In particular, we show that whenever $M = M_1 \ast M_2$ is a tracial free product von Neumann algebra and $u_1 \in \mathscr U(M_1)$, $u_2 \in \mathscr U(M_2)$ ar
Externí odkaz:
http://arxiv.org/abs/2309.15029
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
Autor:
Ioana, Adrian, Tan, Hui
We prove that if a separable II$_1$ factor $M$ is existentially closed, then every $M$-bimodule is weakly contained in the trivial $M$-bimodule, $\text{L}^2(M)$, and, equivalently, every normal completely positive map on $M$ is a pointwise 2-norm lim
Externí odkaz:
http://arxiv.org/abs/2306.00474
We introduce a new iterative amalgamated free product construction of II$_1$ factors, and use it to construct a separable II$_1$ factor which does not have property Gamma and is not elementarily equivalent to the free group factor $\text{L}(\mathbb F
Externí odkaz:
http://arxiv.org/abs/2209.10645
In the first part of the paper we survey several results from Popa's deformation/rigidity theory on the classification of tensor product decompositions of large natural classes of II$_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
We introduce a new class of groups called wreath-like products. These groups are close relatives of the classical wreath products and arise naturally in the context of group theoretic Dehn filling. Unlike ordinary wreath products, many wreath-like pr
Externí odkaz:
http://arxiv.org/abs/2111.04708
Let $G_\Gamma\curvearrowright X$ and $G_\Lambda\curvearrowright Y$ be two free measure-preserving actions of one-ended right-angled Artin groups with trivial center on standard probability spaces. Assume they are irreducible, i.e. every element from
Externí odkaz:
http://arxiv.org/abs/2110.04141