On rigidity theory, strong solidity, Coxeter groups, graph products and commutator estimates
Matthijs Borst (TU Delft - Analysis)
Martijn Caspers – Promotor (TU Delft - Analysis)
Mark C. Veraar – Promotor (TU Delft - Analysis)
More Info
expand_more
Other than for strictly personal use, it is not permitted to download, forward or distribute the text or part of it, without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license such as Creative Commons.
Abstract
The topic of this dissertation lies in the field of operator algebras and non-commutative functional analysis. The dissertation studies structural properties of C*-algebras and von Neumann algebras, with a focus on the latter. New rigidity results are obtain for von Neumann algebras coming from Coxeter groups and/or graph products. Furthermore, new results are obtained on approximation properties of von Neumann algebras and C*-algebras coming from graph products. Last, this dissertation obtains sharp estimates on the norms of commutators in factors.