Date and Time: Monday 19 October, 11.30am
Speaker: Nitin Tomar
Google Meet Link:
https://meet.google.com/afe-nzqz-sgt
Title: Pro C* algebras
Abstract: Pro C*-algebras are the generalisation of C*-algebras in which the C*-norm is replaced by a family of C*-seminorms. In this talk, we discuss the analogy between pro C*-algebra and C*-algebra. Also, we discuss that any pro C* algebra arises as the projective limit of C*-algebras (hence, the name). With this observation, we write the spectrum of a pro C*-algebra and see how it differs from its C*-algebra counterpart. We will also see necessary and sufficient conditions under which a pro C*-algebra isomorphic to a C*-algebra.