Chennai Mathematical Institute

Seminars




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.
16-03-17


Abstract

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.





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