Speaker: Bhawani Singh
Title: GNS Representation and its Applications
Abstract: In this seminar, we will start with some basic notions of
C*-algebras and present the Gelfand–Naimark–Segal (GNS) construction,
providing a brief proof of the GNS representation theorem. We will
explicitly construct the GNS triple for C(X), where X is a compact
Hausdorff space, and examine its crucial application: proving that every
abstract C*-algebra is isometrically isomorphic to a closed subalgebra of
the bounded linear operators on a Hilbert space.