37 citations · 53 across the 10 of their papers we have counts for
13 papers
Uniqueness of extremal almost periodic states on the injective type III factor
Michael Hartglass, Brent Nelson
Let denote the Araki--Woods factor -- the unique separable injective type III factor. For extremal almost periodic states , we show that if $…
A Fair Shake: How close can the sum of -sided dice be to a uniform distribution?
Shamil Asgarli, Michael Hartglass, Daniel Ostrov +1
Two possibly unfair -sided dice, both labelled , are rolled, and the sum is recorded. How should the dice's sides be weighted so that the resulting sum is close…
Compact Quantum Metric Spaces from Free Graph Algebras
Konrad Aguilar, Michael Hartglass, David Penneys
Starting with a vertex-weighted pointed graph , we form the free loop algebra defined in Hartglass-Penneys' article on canonical -algebras assoc…
Realizations of Rigid C*-Tensor Categories as Bimodules over GJS C*-Algebras
Michael Hartglass, Roberto Hernandez Palomares
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 projec…
Non-tracial free graph von Neumann algebras
Michael Hartglass, Brent Nelson
Given a finite, directed, connected graph equipped with a weighting on its edges, we provide a construction of a von Neumann algebra equipped with a faithful, normal, posit…
Free products of finite-dimensional and other von Neumann algebras in terms of free Araki-Woods factors
Michael Hartglass, Brent Nelson
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…
Free transport for interpolated free group factors
Michael Hartglass, Brent Nelson
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 mo…
Free product C-algebras associated to graphs, free differentials, and laws of loops
Michael Hartglass
We study a canonical C-algebra, , that arises from a weighted graph , specific cases of which were previously studied in the context of planar algebr…
-algebras from planar algebras I: canonical -algebras associated to a planar algebra
Michael Hartglass, David Penneys
From a planar algebra, we give a functorial construction to produce numerous associated -algebras. Our main construction is a Hilbert -bimodule with a canonical real subs…
Free probability, planar algebras, and the multicolored Guionnet-Jones-Shlyakhtenko construction
Michael Hartglass
This is the graduate thesis of Michael Hartglass at UC Berkeley. A multicolored variant of the Guionnet-Jones-Shlyakhtenko construction is explored.
Free product von Neumann algebras associated to graphs and Guionnet, Jones, Shlyakhtenko subfactors in infinite Depth
Michael Hartglass
Given a subfactor planar algebra P, Guionnet, Jones and Shlyakhtenko give a diagrammatic construction of a II_{1} subfactor whose planar algebra is P. They showed if P is finite-de…
Rigid C^*-tensor categories of bimodules over interpolated free group factors
Arnaud Brothier, Michael Hartglass, David Penneys
Given a countably generated rigid C^*-tensor category C, we construct a planar algebra P whose category of projections Pro is equivalent to C. From P, we use methods of Guionnet-Jo…
On The Dimension of The Virtually Cyclic Classifying Space of a Crystallographic Group
Frank Connolly, Benjamin Fehrman, Michael Hartglass
In this paper we construct a model for the classifying space, BVCG, of a crystallographic group G of rank n relative to the family VC of virtually-cyclic subgroups of G. The model…