1 citations · 1 across the 8 of their papers we have counts for
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Every -Algebra is Normal
Jananan Arulseelan, James E. Hanson
Using set-theoretic methods, we prove that every -algebra is normal, resolving a question of Wright that has stood open for 46 years. This was previously known in th…
A Note on Pseudofinite W*-Probability Spaces
Jananan Arulseelan
We introduce pseudofinite W*-probability spaces. These are W*-probability spaces that are elementarily equivalent to Ocneanu ultraproducts of finite-dimensional von Neumann algebra…
Model Theory of General von Neumann Algebras II: Group Actions and Crossed Products
Jananan Arulseelan
Expanding on previous work of the author, we initiate the model theoretic study of W-dynamical systems. We axiomatize continuous weight-preserving group actions of on von N…
Model Theory of General von Neumann Algebras I: Generalized Ocneanu Ultraproducts
Jananan Arulseelan
This paper collates, presents, and expands upon technology and results obtained as part of the author's PhD thesis. We generalize work done in the -finite setting by the author,…
The Universal Theory of Locally Universal Tracial von Neumann Algebras is not Computable
Jananan Arulseelan, Aareyan Manzoor
Building on Lin's breakthrough MIP = coRE and an encoding of non-local games as universal sentences in the language of tracial von Neumann algebras, we show that locally uni…
Totally Bounded Elements in W*-probability Spaces
Jananan Arulseelan, Isaac Goldbring, Bradd Hart +1
We introduce the notion of a totally (-) bounded element of a W*-probability space and, borrowing ideas of Kadison, give an intrinsic characterization of the -subal…