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Co-universal operator algebras

Grant


Scheme


  • Discovery Projects

Abstract


  • This project is in pure mathematics and deals with the broad theory of functional analysis. It seeks to develop a new framework for the many generalisations of Cuntz-Krieger theory which have been so intensively studied in recent years. Traditionally these algebras have been described in terms of universal properties. We seek to develop a new, and in many cases more natural, description in terms of what we call co-universal properties. The main thrust of the project deals with the intriguing interplay between the concepts of universality and co-universality, and with when the two coincide. This will give scientists a new window of insight into Cuntz-Krieger algebras and their applications to dynamical systems.

Date/time Interval


  • 2009

Sponsor Award Id


  • DP0984339

Local Award Id


  • 10241

Scheme


  • Discovery Projects

Abstract


  • This project is in pure mathematics and deals with the broad theory of functional analysis. It seeks to develop a new framework for the many generalisations of Cuntz-Krieger theory which have been so intensively studied in recent years. Traditionally these algebras have been described in terms of universal properties. We seek to develop a new, and in many cases more natural, description in terms of what we call co-universal properties. The main thrust of the project deals with the intriguing interplay between the concepts of universality and co-universality, and with when the two coincide. This will give scientists a new window of insight into Cuntz-Krieger algebras and their applications to dynamical systems.

Date/time Interval


  • 2009

Sponsor Award Id


  • DP0984339

Local Award Id


  • 10241