[Turkmath:7880] Seminar(Math: FA): Prof. Rajarama Bhat, ISI, T-Sept 22, 4PM, G015

[Mohan Ravichandran]

Dear All,

     Professor Rajarama Bhat, Indian Statistical Institute, Bangalore  
will give a broadly accessible talk on Thursday, Sept 22 at 4PM in  
FENS G015, Sabanci University.

Title:

E-semigroups, product systems and dilation theory

Abstract:

  E-semigroups are semigroups of endomorphisms of the algebra of all  
bounded operators on a Hilbert space (or of a general von Neumann  
algebra). Associated with any such E-semigroup is a tensor product  
system of Hilbert spaces. E-semigroups can be classified up to cocycle  
conjugacy  through product systems. Product systems have been broadly  
classified into three types. Non type-I examples were hard to come by,  
but now we have a plenty of such examples, though we hardly understand  
them. One may realize E-semigroups
through dilations of quantum dynamical semigroups. It can be shown  
that dilations of quantum dynamical semigroups with bounded generators  
are type I.

Best,
Mohan Ravichandran
Sabanci University