activity
20002004
most citedGauge-invariant ideals in the C*-algebras of finitely aligned higher-rank graphs

10 citations · 12 across the 3 of their papers we have counts for

collaborators
Showing math.OAShow all

4 papers · 1 filter

math.OA2004★ 10 cited

Gauge-invariant ideals in the C*-algebras of finitely aligned higher-rank graphs

Aidan Sims

We produce a complete descrption of the lattice of gauge-invariant ideals in for a finitely aligned -graph . We provide a condition on under which every ideal is…

math.OA2004★ 2 cited

A dual graph construction for higher-rank graphs, and -theory for finite 2-graphs

Stephen Allen, David Pask, Aidan Sims

Given a -graph and an element of $\NN^k$, we define the dual -graph, . We show that when is row-finite and has no sources, the -algebras and $C^…

math.OA2003

Relative Cuntz-Krieger algebras of finitely aligned higher-rank graphs

Aidan Sims

We define the relative Cuntz-Krieger algebras associated to finitely aligned higher-rank graphs. We prove versions of the gauge-invariant uniqueness theorem and the Cuntz-Krieger u…

math.OA2001

Higher-rank graphs and their C*-algebras

Iain Raeburn, Aidan Sims, Trent Yeend

We consider the higher-rank graphs introduced by Kumjian and Pask as models for higher-rank Cuntz-Krieger algebras. We describe a variant of the Cuntz-Krieger relations which appli…