Chennai Mathematical Institute


Research Seminar 5
Date/Time: 15.09.2021, 3:15 pm.
On the state space of certain $C^*$-algebra

Malay Mandal
Chennai Mathematical Institute.


The full group $C^*$-algebra $C^*(F_n)$ has some algebraic properties like Lifting property, Primitivity property, where $F_n$ is free group with n generators.

Also $C^*(F_n) is RFD $C^*$-algebra. In this seminar, I will talk about the same property for universal $C^*$-algebra $U^nc_n$. Also I discuss about operator space structure of $U^nc_n$. If time permits I will talk about quantum semigroup structure on $U^nc_n$ and characterize the invertible elements of the induced semigroup structure on the state space of $U^nc_n$.