On rigidity theory, strong solidity, Coxeter groups, graph products and commutator estimates
M.J. Borst (TU Delft - Analysis)
M.P.T. Caspers – Promotor (TU Delft - Analysis)
M.C. Veraar – Promotor (TU Delft - Analysis)
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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.