Aidan Sims

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

3 papers

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 $C^{*} (Λ)$ for a finitely aligned $k$ -graph $Λ$ . We provide a condition on $Λ$ under which every ideal is…

math.OA2004★ 2 cited

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

Stephen Allen, David Pask, Aidan Sims

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

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

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

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

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