This elegantly edited landmark edition of Gert Kjærgård Pedersen's C*-Algebras and their
Automorphism Groups (1979) carefully and sensitively extends the classic work to reflect the …

K-theory has helped convert the theory of operator algebras from a simple branch of
functional analysis to a subject with broad applicability throughout mathematics, especially …

A modern treatment of this complex mathematical topic for students beginning research in
operator algebras as well as mathematical physicists. Topics include the algebra of compact …

Graph algebras are a family of operator algebras which are associated to directed graphs.
These algebras have an attractive structure theory in which algebraic properties of the …

Motivation for this work comes from two sources. The first is a desire to give in the second
countable case a detailed, self-contained account of the relation that exists between the …

The fundamental problem in investigating the unitary representation theory of a separable
locally compact group G is to determine its space G^ of (equivalence classes of) irreducible …

For M a smooth manifold equipped with a Poisson bracket, we formulate a C*-algebra
framework for deformation quantization, including the possibility of invariance under a Lie …

Motivated by Mackey's normal subgroup analysis in group representation theo much work
has been devoted to the study of the ideal structure of crossed product C-algebras. Let us …

A concise introduction to the techniques used to prove the Baum-Connes conjecture. The
Baum-Connes conjecture predicts that the K-homology of the reduced C^*-algebra of a …

In this chapter, together with the first half of the next chapter we prepare the results from the
theory of C*-algebras for our subsequent discussion. It is however far beyond the size of the …