Haagerup approximation property of q-deformed Araki-Woods algebras

Seminarium: 
Dyskretna analiza harmoniczna i niekomutatywna probabilistyka
Osoba referująca: 
Mateusz Wasilewski (IMPAN)
Data: 
czwartek, 21. Kwiecień 2016 - 12:15
Sala: 
604
Opis: 
We will talk about a class of von Neumann algebras introduced by Hiai. They form a combination of two generalisations of free group factors: q-Gaussian algebras of Bożejko and Speicher, and deformations of free group factors introduced by Shlyakhtenko. We will prove that they always possess the Haagerup approximation property and we will discuss what is not yet known about these algebras.