103 citations
- Australian Mathematical Sciences InstituteAU3 papers
- Australian National UniversityAU3 papers
- Flinders UniversityAU3 papers
- University of VictoriaCA3 papers
- Clausthal University of TechnologyDE1 paper
- Ludwig-Maximilians-Universität MünchenDE1 paper
- Newcastle UniversityGB1 paper
- Norwegian University of Science and TechnologyNO1 paper
- Novo Nordisk (Denmark)DK1 paper
- University of IowaUS1 paper
- University of TübingenDE1 paper
- University of WarsawPL1 paper
16 papers
The Noncommutative Geometry of Graph -Algebras I: The Index Theorem
David Pask, Adam Rennie
We investigate conditions on a graph -algebra for the existence of a faithful semifinite trace. Using such a trace and the natural gauge action of the circle on the graph alge…
The Local Index Formula in Semifinite von Neumann Algebras II: The Even Case
Alan L. Carey, John Phillips, Adam Rennie +1
We generalise the even local index formula of Connes and Moscovici to the case of spectral triples for a *-subalgebra \A of a general semifinite von Neumann algebra. The proof is a…
The Local Index Formula in Semifinite von Neumann Algebras I: Spectral Flow
Alan L. Carey, John Phillips, Adam Rennie +1
We generalise the local index formula of Connes and Moscovici to the case of spectral triples for a *-subalgebra \A of a general semifinite von Neumann algebra. In this setting it…
Higher-rank graph C*-algebras: an inverse semigroup and groupoid approach
Cynthia Farthing, Paul S. Muhly, Trent Yeend
We provide inverse semigroup and groupoid models for the Toeplitz and Cuntz-Krieger algebras of finitely aligned higher-rank graphs. Using these models, we prove a uniqueness theor…
Exel's Crossed Product and Relative Cuntz-Pimsner Algebras
Nathan Brownlowe, Iain Raeburn
We consider Exel's new construction of a crossed product of a C*-algebra A by an endomorphism α. We prove that this crossed product is universal for an appropriate family of covari…
Mach number dependence of the onset of dynamo action
Nils Erland L. Haugen, Axel Brandenburg, Antony J. Mee
The effect of compressibility on the onset of nonhelical turbulent dynamo action is investigated using both direct simulations as well as simulations with shock-capturing viscositi…