The CCAP for graph products of operator algebras

For a simple graph Γ and for unital C^*-algebras with GNS-faithful states (A_v,φ_v) for v∈VΓ, we consider the reduced graph product (A,φ)=⁎_v,Γ(A_v,φ_v), and show that if every C^*-algebra A_v has the completely contractive approximation property (CCAP) and...

The Structure of Hecke Operator Algebras

This dissertation is concerned with the study of the structure of certain deformations of operator algebras associated with Coxeter groups. These operator algebras, called Hecke C*-algebras and Hecke-von Neumann algebras, are operator algebraic completions of Iwahori-Hecke algebras. They occur as natural abstractions of certain endomorphism...