C*-algebras - Notes

Dr I F Wilde

C*-algebras - Notes (pdf file)

These (draft) notes are based on lectures given some years ago at King's College London (as part of the Mathematics MSc programme).


  1. Banach Algebras
  2. Gelfand theory
  3. C*-algebras
  4. The spectral theorem
  5. Positive elements of a C*-algebra
  6. Homomorphisms
  7. States on a C*-algebra
  8. The Gelfand, Naimark, Segal construction
  9. Pure states

- further available material.

Ivan F Wilde
e-mail: iwilde (dot) mth (at) ntlworld (dot) com
<This page updated 14 June 2009>