KK-Equivalence for Amalgamated Free Product C*-Algebras

Exactness of Reduced Amalgamated Free Product C {algebras

Some completely positive maps on reduced amalgamated free products of C∗–algebras are constructed, showing that every reduced amalgamated free product of exact C∗–algebras is exact. Consequently, every amalgamated free product of exact discrete groups is exact.

On Embeddings of Full Amalgamated Free Product C∗–algebras

An embedding question for full (i.e. universal) amalgamated free products of C∗–algebras is raised, and solved in part. This is used to give a necessary and sufficient condition for the full amalgamated free product of finite dimensional C∗–algebras to be residually finite dimensional.

KK-theory of reduced free product C*-algebras

0 Introduction For unital C-algebras endowed with states there is a natural reduced free product construction which generalizes the C-algebra of the regular representation of a free product group. Whereas the question of computing the K-theory and all the various KK-groups is completly understood in the case of discrete groups (see the work of Pimsner in 13]), little is known so far for more ge...

Institute for Mathematical Physics Topological Entropy of Some Automorphisms of Reduced Amalgamated Free Product C {algebras

Cuntz-Krieger-Pimsner Algebras Associated with Amalgamated Free Product Groups

We give a construction of a nuclear C∗-algebra associated with an amalgamated free product of groups, generalizing Spielberg’s construction of a certain Cuntz-Krieger algebra associated with a finitely generated free product of cyclic groups. Our nuclear C∗-algebras can be identified with certain Cuntz-Krieger-Pimsner algebras. We will also show that our algebras can be obtained by the crossed ...