103 citations
- University of VictoriaCA4 papers
- Australian Mathematical Sciences InstituteAU3 papers
- Australian National UniversityAU3 papers
- Flinders UniversityAU3 papers
- University of WollongongAU2 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 BergenNO1 paper
- University of IcelandIS1 paper
21 papers
Hecke algebras from groups acting on trees and HNN extensions
Udo Baumgartner, Marcelo Laca, Jacqui Ramagge +1
We study Hecke algebras of groups acting on trees with respect to geometrically defined subgroups. In particular, we consider Hecke algebras of groups of automorphisms of locally f…
Functional calculus extensions on dual spaces
Venta Terauds
In this note, we show that if a Banach space X has a predual, then every bounded linear operator on X with a continuous functional calculus admits a bounded Borel functional calcul…
A family of 2-graphs arising from two-dimensional subshifts
David Pask, Iain Raeburn, Natasha A. Weaver
Higher-rank graphs (or -graphs) were introduced by Kumjian and Pask to provide combinatorial models for the higher-rank Cuntz-Krieger -algebras of Robertson and Steger. Her…
Parameterized Low-distortion Embeddings - Graph metrics into lines and trees
Michael Fellows, Fedor Fomin, Daniel Lokshtanov +3
We revisit the issue of low-distortion embedding of metric spaces into the line, and more generally, into the shortest path metric of trees, from the parameterized complexity persp…
Achieving the Quadratic Gaussian Rate-Distortion Function for Source Uncorrelated Distortions
Milan S. Derpich, Jan Ostergaard, Daniel E. Quevedo
We prove achievability of the recently characterized quadratic Gaussian rate-distortion function (RDF) subject to the constraint that the distortion is uncorrelated to the source.…
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…