C*-Algebras of Discrete Groups

Our proposed research project is concerned with those C*-algebras that are generated by discrete groups. In particular, we will study the various properties, such as amenability, of these groups and their corresponding C*-algebras, and summarize the current theory regarding them. We would then like to investigate these properties within the context of the group C*-algebra of the Richard Thompson group; a rather unusual example of a discrete group, proposed in 1965 as the first potential counterexample to the now-disproven von Neumann conjecture on non-amenable groups.

Daniel Dunmore

The University of New South Wales

Daniel Dunmore is a third-year undergraduate student at the University of New South Wales, where he is currently pursuing an Advanced Science (Honours) degree, with majors in mathematics and physics. His academic interests lie broadly in the areas of pure mathematics, mathematical physics and theoretical physics, with a particular focus on topics in abstract algebra, such as operator algebras and group theory.

You may be interested in

Jamie Bell

Jamie Bell

Curvature and Topology
Annalisa Calvi

Annalisa Calvi

Corollaries of the Gauss-Bonnet Theorem for Surfaces in R^n
Jecinta Jaarola

Jecinta Jaarola

Improving the Prediction of Patient Outcomes via Integration of Clinical Information with Genome-wide Data
Macey Lawson

Macey Lawson

Analysis of Humpback Whale Songs using Information Theory Techniques
Contact Us

We're not around right now. But you can send us an email and we'll get back to you, asap.

Not readable? Change text.