Chennai Mathematical Institute


1.30 pm, Seminar Hall
Maths MSc/PhD Research Seminar on March 13,15,16,17
Discrete Product Systems And their C* algebras

Debdyuti Banerjee
Chennai Mathematical Institute.


For every discrete product system, there is a natural separable C*-algebra associated to it and Dinh proved in his paper Discrete Product Systems and Their C*-Algebras that these C*-algebras are simple. I will briefly outline his proof and continue to prove that these C*-algebras are nuclear. I will calculate the K-groups of these C*-algebras and discuss some examples of type-III discrete product systems. I will show two sets of infinitely many non isomorphic type-III product systems which can be distinguished by a natural group action on discrete product systems.