7 citations · 9 across the 3 of their papers we have counts for
5 papers
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…
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 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…
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…