Zobrazeno 1 - 10
of 317
pro vyhledávání: '"Popa, Sorin"'
Autor:
Hiatt, Patrick, Popa, Sorin
We prove that, under the continuum hypothesis $\frak c=\aleph_1$, any ultraproduct II$_1$ factor $M= \prod_{\omega} M_n$ of separable finite factors $M_n$ contains more than $\frak c$ many mutually disjoint singular MASAs, in other words the {\it sin
Externí odkaz:
http://arxiv.org/abs/2402.18559
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
We study several classes of Banach bimodules over a II$_1$ factor $M$, endowed with topologies that make them "smooth" with respect to $L^p$-norms implemented by the trace on $M$. Letting $M\subset \B= \B(L^2M)$, and $2\leq p < \infty$, we consider:
Externí odkaz:
http://arxiv.org/abs/2304.06242
Autor:
Boutonnet, Remi, Popa, Sorin
We prove that if $\{(M_j, \tau_j)\}_{j\in J}$ are tracial von Neumann algebras, $s_j \in M_j$ are selfadjoint semicircular elements and $t=(t_j)_j$ is a square summable $J$-tuple of real numbers with at least two non-zero entries, then the von Neuman
Externí odkaz:
http://arxiv.org/abs/2302.13355
Autor:
Popa, Sorin
Given an inclusion of II$_1$ factors $N\subset M$ with finite Jones index, $[M:N]<\infty$, we prove that for any $F\subset M$ finite and $\varepsilon >0$, there exists a partition of $1$ with $r\leq \lceil 16\varepsilon^{-2}\rceil$ $\cdot \lceil 4 [M
Externí odkaz:
http://arxiv.org/abs/2210.04396
Publikováno v:
In Journal of Functional Analysis 1 August 2024 287(3)
Autor:
Popa, Sorin
A {\it W$^*$-representation} of a II$_1$ subfactor $N\subset M$ with finite Jones index, $[M:N]<\infty$, is a non-degenerate commuting square embedding of $N\subset M$ into an inclusion of atomic von Neumann algebras $\oplus_{i\in I} \Cal B(\Cal K_i)
Externí odkaz:
http://arxiv.org/abs/2112.15148
Autor:
Popa, Sorin, Vaes, Stefaan
Publikováno v:
Communications in Mathematical Physics 395 (2022), 907-961
We undertake a systematic study of W*-rigidity paradigms for the embeddability relation $\hookrightarrow$ between separable II$_1$ factors and its stable version $\hookrightarrow_s$, obtaining large families of non stably isomorphic II$_1$ factors th
Externí odkaz:
http://arxiv.org/abs/2102.01664
Autor:
Popa, Sorin
A II$_1$ factor $M$ has the {\it stable single generation} ({\it SSG}) property if any amplification $M^t$, $t>0$, can be generated as a von Neumann algebra by a single element. We discuss a conjecture stating that if $M$ is SSG, then $M$ has a {\it
Externí odkaz:
http://arxiv.org/abs/1910.14653
Autor:
Popa, Sorin
An inclusion of von Neumann factors $M \subset \Cal M$ is {\it ergodic} if it satisfies the irreducibility condition $M'\cap \Cal M=\Bbb C$. We investigate the relation between this and several stronger ergodicity properties, such as $R$-{\it ergodic
Externí odkaz:
http://arxiv.org/abs/1910.06923