Factoriality of Bożejko–speicher Von Neumann Algebras

Factoriality of q-Gaussian von Neumann algebras

We prove that the von Neumann algebras generated by n q-Gaussian elements, are factors for n > 2.

Hnn Extensions of Von Neumann Algebras

Reduced HNN extensions of von Neumann algebras (as well as C-algebras) will be introduced, and their modular theory, factoriality and ultraproducts will be discussed. In several concrete settings, it will be illustrated how our results can be applied.

Various topological forms of Von Neumann regularity in Banach algebras

We study topological von Neumann regularity and principal von Neumann regularity of Banach algebras. Our main objective is comparing these two types of Banach algebras and some other known Banach algebras with one another. In particular, we show that the class of topologically von Neumann regular Banach algebras contains all $C^*$-algebras, group algebras of compact abelian groups and ...

A Relationship between Hnn Extensions and Amalgamated Free Products in Operator Algebras

By improving the previous construction in [18] we observe that any reduced HNN extension is a corner of a certain reduced amalgamated free product in both the von Neumann algebra and the C∗-algebra settings. Then, the same fact is shown for universal HNN extensions of C∗-algebras. We apply the observation to the questions of factoriality and type classification of HNN extensions of von Neumann ...

Reiter’s Properties for the Actions of Locally Compact Quantum Goups on von Neumann Algebras