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pro vyhledávání: '"Hartglass, Michael"'
Autor:
Hartglass, Michael, Nelson, Brent
Let $R_\infty$ denote the Araki--Woods factor -- the unique separable injective type III$_{1}$ factor. For extremal almost periodic states $\varphi, \psi\in (R_\infty)_*$, we show that if $\Delta_\varphi$ and $\Delta_\psi$ have the same point spectru
Externí odkaz:
http://arxiv.org/abs/2406.00874
Two possibly unfair $n$-sided dice, both labelled $1, 2, \ldots, n$, are rolled, and the sum is recorded. How should the dice's sides be weighted so that the resulting sum is closest to the uniform distribution on $2, 3, \ldots, 2n$? We answer this q
Externí odkaz:
http://arxiv.org/abs/2304.08501
Starting with a vertex-weighted pointed graph $(\Gamma,\mu,v_0)$, we form the free loop algebra $\mathcal{S}_0$ defined in Hartglass-Penneys' article on canonical $\rm C^*$-algebras associated to a planar algebra. Under mild conditions, $\mathcal{S}_
Externí odkaz:
http://arxiv.org/abs/2109.06985
Given an arbitrary countably generated rigid C*-tensor category, we construct a fully-faithful bi-involutive strong monoidal functor onto a subcategory of finitely generated projective bimodules over a simple, exact, separable, unital C*-algebra with
Externí odkaz:
http://arxiv.org/abs/2005.09821
Autor:
Hartglass, Michael, Nelson, Brent
We show that any free product of finite-dimensional von Neumann algebras equipped with non-tracial states is isomorphic to a free Araki-Woods factor with its free quasi-free state possibly direct sum a finite-dimensional von Neumann algebra. This giv
Externí odkaz:
http://arxiv.org/abs/1810.01924
Autor:
Hartglass, Michael, Nelson, Brent
Given a finite, directed, connected graph $\Gamma$ equipped with a weighting $\mu$ on its edges, we provide a construction of a von Neumann algebra equipped with a faithful, normal, positive linear functional $(\mathcal{M}(\Gamma,\mu),\varphi)$. When
Externí odkaz:
http://arxiv.org/abs/1810.01922
Autor:
Hartglass, Michael, Nelson, Brent
In this article, we study a form of free transport for the interpolated free group factors, extending the work of Guionnet and Shlyakhtenko for the usual free group factors. Our model for the interpolated free group factors comes from a canonical fin
Externí odkaz:
http://arxiv.org/abs/1702.08643
Akademický článek
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Autor:
Hartglass, Michael
We study a canonical C$^*$-algebra, $\mathcal{S}(\Gamma, \mu)$, that arises from a weighted graph $(\Gamma, \mu)$, specific cases of which were previously studied in the context of planar algebras. We discuss necessary and sufficient conditions of th
Externí odkaz:
http://arxiv.org/abs/1509.02553