Introduction to C*- Algebras

Code: MA645 | L-T-P-C: 3-0-0-6

Prerequisites: MA543 or equivalent

Banach algebra, basic properties of spectra, Ideals and homomorphisms, Gelfand transforms, Involutions, C^*- Algebra, Gelfand-Naimark theorem for commutative C^*- Algebras, positive linear functionals and the Gelfand-Naimark-Segal construction.

Texts/References:

1. R.V. Kadison and J.R. Ringrose, Fundamentals of the theory of operator algebras. Vol. I. Elementary theory, GSM, 15. AMS, Providence, RI, 1997.
2. G.J. Murphy, C.-algebras and operator theory, Academic Press, Inc., Boston, MA, 1990.
3. R.G. Douglas, Banach algebra techniques in operator theory, 2nd Edn. GTM, 179. Springer-Verlag, New York, 1998.