Bharat Talwar (University of Dehli)

September 8, 2020 @ 6:00 am – 8:00 am
Lecture held in Elysium

Title: Closed Lie Ideals and Center of Generalized Group Algebras
by Bharat Talwar (University of Dehli) as part of Topological Groups

Lecture held in Elysium.

The closed Lie ideals of the generalized group algebra $L^1(G,A)$ are characterized in terms of elements of the group $G$, elements of the algebra $A$, and the modular function $Delta$ of the group $G$. Conditions under which for a given closed Lie ideal $Lsubseteq A$ the subspace $L^1(G,L)$ is a Lie ideal, and vice versa, are discussed. The center of $L^1(G,A)$ is characterized, followed by a discussion regarding a very special projection in $L^1(G,A)$. Finally, a few restrictions are imposed on $G$ and $A$ under which $mathcal{Z}(L^1(G,A))congmathcal{Z}(L^1(G))otimes^gammamathcal{Z}(A)$.

The presentation is based on joint work with Ved Prakash Gupta and Ranjana Jain.