Inductive Algebras
Dr. Murali K Vemuri
Chennai Mathematical Institute.
31-10-03 (Institute Colloquium)

---

Abstract

Let R be an irreducible unitary representation of a group G on a Hilbert space H. An R-inductive algebra is a weakly closed abelian algebra of bounded operators on H which is normalised by R(G). The identification of inductive algebras may shed light on the possible realizations of H as a space of sections of a homogeneous vector bundle.

I will describe my work on inductive algebras for Heisenberg groups as well as my joint work with Tim Steger on inductive algebras for SL(2,R).