Discovery Projects - Grant ID: DP160101481

Funding Activity

Website
http://dataportal.arc.gov.au/NCGP/Web/Grant/Grant/DP160101481

Funding Status
Closed

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Funded Activity Summary

Graded K-theory as invariants for path algebras. This pure mathematics project focuses on Leavitt path algebras, which are structures that naturally arise from movements on directed graphs. These algebras appear in diverse areas (eg analysis, noncommutative geometry, representation theory and group theory). The aim of this project is to understand the behaviour of Leavitt path algebras and to classify them completely by means of graded K-theory. The project is an algebraic counterpart to graph C*-algebras (analytic structures that originated in Australian universities); both subjects have become areas of intensive research globally. The expected outcomes are to classify Leavitt path algebras, and to find a bridge (via graded K-theory) to graph C*-algebras and symbolic dynamics.

Funded Activity Details

Start Date: 30-06-2016

End Date: 31-10-2019

Funding Scheme: Discovery Projects

Funding Amount: $377,600.00

Funder: Australian Research Council

Research Topics

ANZSRC Field of Research (FoR)

Category Theory, K Theory, Homological Algebra | Operator Algebras and Functional Analysis | Pure Mathematics | Algebra and Number Theory

ANZSRC Socio-Economic Objective (SEO)

Expanding Knowledge in the Mathematical Sciences |

Other Keywords

Algebra and Number Theory | Category Theory, K Theory, Homological Algebra | Expanding Knowledge in the Mathematical Sciences | Operator Algebras and Functional Analysis | Pure Mathematics

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