3 papers
math.OA2025
On almost commuting unitary matrices
Adam Dor-On, Lucas Hall, Ilya Kachkovskiy
A question going back to Halmos asks when two approximately commuting matrices of a certain kind are close to exactly commuting matrices of the same kind. It has long been known th…
math.OA2025
Principal Actions on Topological Quivers and Associated Operator Dynamics
Matthew Gillespie, Lucas Hall, Benjamin Jones +1
We study topological quivers admitting a free and proper action by a locally compact group together with their associated -algebras. On the topological side, we provid…
math.OA2024
The Covariant Stone-von Neumann Theorem for Locally Compact Quantum Groups
Lucas Hall, Leonard Huang, Jacek Krajczok +1
The Stone-von Neumann Theorem is a fundamental result which unified the competing quantum mechanical models of matrix mechanics and wave mechanics. It's mechanism of proof ultimate…