C*-algebras associated to graphs of groups Seminar

Graphs of groups encode group actions on trees, and have many applications in algebra, topology and geometric group theory. A graph of groups G consists of a graph (V,E) together with a group G_v for each vertex v in V and a group G_e for each edge e in E, so that G_e includes into G_v for v the range and source of e. The graph of groups G has a fundamental group which acts on its universal covering tree T, and thus acts on the boundary of T. Under mild assumptions, we associate aC*-algebra to G.

This is joint work with Nathan Brownlowe, Alex Mundey, David Pask and

Jack Spielberg