Institute of Mathematics and Informatics at the Bulgarian Academy of Sciences
Serdica Mathematical Journal, Vol. 41, No 1, (2015), 49p-82p
The first part of these notes contains a sketch of the elementary parts of C*-algebra theory, culminating in the two Gelfand–Naimark theorems. The final section is a presentation of the basic facts of the theory of weak-* closed (possibly non-selfadjoint) unital algebras containing maximal abelian selfadjoint algebras (masas), or more generally bimodules over masas. 2010 Mathematics Subject Classification: Primary 46L05; Secondary 47L55.