Discovery Projects - Grant ID: DP0208065

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP0208065

Funding Status
Closed

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Funded Activity Summary

Noncommutative geometry of groups acting on buildings. Consider a tiling of the plane by triangles, where each triangle is labeled by an element of a finite alphabet. Suppose that only certain pairs of labels are allowed to be adjacent to each other in each direction. The tiled planes can be pasted together to form the abstract mathematical object known as a building. This building and its boundary, give rise to new families of C*-algebras and groups. The algebras have a rich structure which it is proposed to investigate and link with geometric properties of the groups. New insights into geometry, dynamics and algebra are expected.

Funded Activity Details

Start Date: 01-01-2002

End Date: 31-12-2006

Funding Scheme: Discovery Projects

Funding Amount: $148,000.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Geometry | Pure Mathematics | Functional Analysis | Category Theory, K Theory, Homological Algebra

ANZSRC Socio-Economic Objective (SEO)

Mathematical sciences |

Other Keywords

Category Theory, K Theory, Homological Algebra | Functional Analysis | Geometry | Mathematical sciences | Pure Mathematics

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