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Operator algebras associated to group oids

Grant


Scheme


  • Discovery Projects

Abstract


  • This project is in pure mathematics in the broad area of functional analysis. We aim to study operator algebras associated to very general mathematical objects called groupoids. Groupoids are informative models for many important operator algebras, and the significance of our program lies in the breadth of this class. Our research will lead to two main outcomes. First, we will develop a theory which classifies a large class of operator algebras, called Fell algebras, using groupoids. Second, guided by graph-algebra techniques, we will analyse a broad class of groupoid algebras associated with dynamical systems. Since groupoids are so general and arise in many areas of mathematics, our results will be of wide interest.

Date/time Interval


  • 2009

Sponsor Award Id


  • DP0984360

Local Award Id


  • 10255

Scheme


  • Discovery Projects

Abstract


  • This project is in pure mathematics in the broad area of functional analysis. We aim to study operator algebras associated to very general mathematical objects called groupoids. Groupoids are informative models for many important operator algebras, and the significance of our program lies in the breadth of this class. Our research will lead to two main outcomes. First, we will develop a theory which classifies a large class of operator algebras, called Fell algebras, using groupoids. Second, guided by graph-algebra techniques, we will analyse a broad class of groupoid algebras associated with dynamical systems. Since groupoids are so general and arise in many areas of mathematics, our results will be of wide interest.

Date/time Interval


  • 2009

Sponsor Award Id


  • DP0984360

Local Award Id


  • 10255