A. Sims

activity

20002026

most citedProduct systems of graphs and the Toeplitz algebras of higher-rank graphs

76 citations · 782 across the 86 of their papers we have counts for

collaborators

Showing 2004Show all

2 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 $C^{*} (Λ)$ 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^…

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

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