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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Math 243: Functional Analysis Seminar
Ben Major
UCLA
New Proofs of Indecomposability Results for Tracial von Neumann Algebras
Abstract:
We show that, for many choices of finite tuples of generators $\mathbf{X}=(x_1,\dots,x_d)$ of a tracial von Neumann algebra $(M,\tau)$ satisfying certain decomposition properties (non-primeness, possessing a Cartan subalgebra, or property $\Gamma$), one can find a diffuse, hyperfinite subalgebra in $W^*(\mathbf{X})^\omega$ (often in $W^*(\mathbf{X})$ itself), such that $W^*(N,\mathbf{X}+\sqrt{t}\
This is joint work with Dimitri Shlyakhtenko.
January 27, 2026
11:00 AM
APM 6402
Research Areas
Functional Analysis / Operator Theory****************************
