49 citations · 210 across the 23 of their papers we have counts for
4 papers · 1 filter
Twisted C*-algebras associated to finitely aligned higher-rank graphs
Aidan Sims, Benjamin Whitehead, Michael F. Whittaker
We introduce twisted relative Cuntz-Krieger algebras associated to finitely aligned higher-rank graphs and give a comprehensive treatment of their fundamental structural properties…
Topological spaces associated to higher-rank graphs
Alex Kumjian, David Pask, Aidan Sims +1
We investigate which topological spaces can be constructed as topological realisations of higher-rank graphs. We describe equivalence relations on higher-rank graphs for which the…
Zappa-Szép products of semigroups and their C*-algebras
Nathan Brownlowe, Jacqui Ramagge, David Robertson +1
Zappa-Szép products of semigroups encompass both the self-similar group actions of Nekrashevych and the quasi-lattice-ordered groups of Nica. We use Li's construction of semigroup…
Equilibrium states on the Cuntz-Pimsner algebras of self-similar actions
Marcelo Laca, Iain Raeburn, Jacqui Ramagge +1
We consider a family of Cuntz-Pimsner algebras associated to self-similar group actions, and their Toeplitz analogues. Both families carry natural dynamics implemented by automorph…