News & Events

seminar

Date/Time: 
Monday, March 21, 2016 -
03:30 to 04:30
Venue: 
M5
Speaker: 
Panchugopal Bikram
Affiliation: 
ISI Kolkata
Title: 
Maximal abelian subalgebras in q-deformed Araki-Woods von Neumann algebras and Factoriality

To any strongly continuous orthogonal representation of real line R on a real Hilbert space H , Hiai constructed q-deformed Araki-Woods von Neumann algebras for −1 < q <1, which are von Neumann algebras arising from non tracial representations of the q-commutation relations, the latter yielding an interpolation between Bosonic and Fermionic statistics. We settle that these von Neumann algebras are factors whenever dim(H ) ≥ 3 and completely determine their type.  In the process we obtain and discuss ‘generator masas’ in these factors and establish that they are strongly mixing.

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