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Taming infinite dimensions: quasidiagonality and nuclear dimension

Grant


Scheme


  • Discovery Projects

Abstract


  • This project aims to develop new methods for understanding regularity properties of operator algebras. These play a crucial role in the development of quantum physics, quantum computing and in topological insulators. Operator algebras constitute the mathematical underpinnings of quantum mechanics. This project aims to analyse nuclear dimension and quasidiagonality of operator algebras: two recently developed and exceptionally important regularity properties. This should deliver significant benefits, including an enhanced understanding of operator algebras and strengthened research capacity and standing for Australia.

Date/time Interval


  • 2018 - 2021

Sponsor Award Id


  • DP180100595

Local Award Id


  • 124699

Scheme


  • Discovery Projects

Abstract


  • This project aims to develop new methods for understanding regularity properties of operator algebras. These play a crucial role in the development of quantum physics, quantum computing and in topological insulators. Operator algebras constitute the mathematical underpinnings of quantum mechanics. This project aims to analyse nuclear dimension and quasidiagonality of operator algebras: two recently developed and exceptionally important regularity properties. This should deliver significant benefits, including an enhanced understanding of operator algebras and strengthened research capacity and standing for Australia.

Date/time Interval


  • 2018 - 2021

Sponsor Award Id


  • DP180100595

Local Award Id


  • 124699