Zobrazeno 1 - 10
of 247
pro vyhledávání: '"Peterson, Jesse"'
Autor:
Ding, Changying, Peterson, Jesse
We introduce the notion of biexactness for general von Neumann algebras, naturally extending the notion from group theory. We show that biexactness implies solidity for von Neumann algebras, and that many of the examples of solid von Neumann algebras
Externí odkaz:
http://arxiv.org/abs/2309.10161
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
We introduce the notion of proper proximality for finite von Neumann algebras, which naturally extends the notion of proper proximality for groups. Apart from the group von Neumann algebras of properly proximal groups, we provide a number of addition
Externí odkaz:
http://arxiv.org/abs/2204.00517
Publikováno v:
In Journal of Functional Analysis 1 August 2024 287(3)
Autor:
von Essen, Erica, Peterson, Jesse
Publikováno v:
In Digital Geography and Society December 2024 7
Publikováno v:
In Advances in Mathematics February 2024 438
Autor:
Das, Sayan, Peterson, Jesse
We introduce Poisson boundaries of II$_1$ factors with respect to density operators that give the traces. The Poisson boundary is a von Neumann algebra that contains the II$_1$ factor and is a particular example of the boundary of a unital completely
Externí odkaz:
http://arxiv.org/abs/2009.11787
Publikováno v:
Invent. Math. 229 (2022), 929-985
We discuss special properties of the spaces of characters and positive definite functions, as well as their associated dynamics, for arithmetic groups of product type. Axiomatizing these properties, we define the notions of charmenability and charfin
Externí odkaz:
http://arxiv.org/abs/2009.09952
We introduce a new equivalence relation on groups, which we call von Neumann equivalence, that is coarser than both measure equivalence and $W^*$-equivalence. We introduce a general procedure for inducing actions in this setting and use this to show
Externí odkaz:
http://arxiv.org/abs/1910.08682
Publikováno v:
Duke Math. J. 157, no. 2 (2011), 337-367
Let $\Gamma$ be an irreducible lattice in a product of two locally compact groups and assume that $\Gamma$ is densely embedded in a profinite group $K$. We give necessary conditions which imply that the left translation action $\Gamma\curvearrowright
Externí odkaz:
http://arxiv.org/abs/1910.08642