76 citations · 782 across the 86 of their papers we have counts for
6 papers · 1 filter
C*-algebras associated to product systems of Hilbert bimodules
Aidan Sims, Trent Yeend
Let (G,P) be a quasi-lattice ordered group and let X be a compactly aligned product system over P of Hilbert bimodules. Under mild hypotheses we associate to X a C*-algebra which w…
Generalised morphisms of k-graphs: k-morphs
Alex Kumjian, David Pask, Aidan Sims
In a number of recent papers, (k+l)-graphs have been constructed from k-graphs by inserting new edges in the last l dimensions. These constructions have been motivated by C*-algebr…
Simplicity of C*-algebras associated to row-finite locally convex higher-rank graphs
David I. Robertson, Aidan Sims
In previous work, the authors showed that the C*-algebra C*(Λ) of a row-finite higher-rank graph Λwith no sources is simple if and only if Λis both cofinal and aperiodic. In this p…
Crossed products of k-graph C*-algebras by Z^l
Cynthia Farthing, David Pask, Aidan Sims
An action of Z^l by automorphisms of a k-graph induces an action of Z^l by automorphisms of the corresponding k-graph C*-algebra. We show how to construct a (k+l)-graph whose C*-al…
Coverings of skew-products and crossed products by coactions
David Pask, John Quigg, Aidan Sims
Consider a projective limit G of finite groups G_n. Fix a compatible family δ^n of coactions of the G_n on a C*-algebra A. From this data we obtain a coaction δof G on A. We show t…
Noncommutative manifolds from graph and -graph -algebras
David Pask, Adam Rennie, Aidan Sims
In previous papers, we constructed smooth (1,\infty)-summable semfinite spectral triples for graph algebras with a faithful trace, and (k,\infty)-summable semifinite spectral tripl…