Discovery Projects - Grant ID: DP0451660

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP0451660

Funding Status
Closed

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Funded Activity Summary

Operator algebras associated to semigroups and graphs. This project aims to unify ideas from two highly topical areas of mathematics in which one studies discrete objects by representing them as families of linear transformations. In the first area, one represents the semigroups which model irreversible dynamics as isometries (that is, distance-preserving transformations); in the second, one represents networks by families of partially defined isometries in a way which reflects the behaviour of paths in the network. The link will be achieved by viewing the operator algebras they generate as semidirect products which have been twisted by a noncommutative cocycle.

Funded Activity Details

Start Date: 01-01-2004

End Date: 30-04-2008

Funding Scheme: Discovery Projects

Funding Amount: $180,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Pure Mathematics | Functional Analysis |

ANZSRC Socio-Economic Objective (SEO)

Mathematical sciences

Other Keywords

Functional Analysis | Mathematical sciences | Pure Mathematics

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