[Cite as http://purl.org/au-research/grants/arc/DP150101595]
Researchers Prof Aidan Sims
Brief description This project is in pure mathematics, in the broad area of functional analysis, and focuses specifically on operator algebras. Kubo-Martin-Schwinger (KMS) states on operator algebras encode equilibria of C*-algebraic dynamical systems. This project takes a novel view of KMS data as a repository of fine operator-algebraic structure. It will develop a theory whereby KMS states recover structural details like primitive-ideal structure and simplicity. The project will determine to what extent the KMS simplex of a combinatorial operator algebra remembers underlying combinatorial data. It will also explore KMS states on combinatorial operator algebras as a new point of interaction between the two main branches of modern operator-algebra theory.
Funding Amount 345300
Funding Scheme Discovery Projects