130 citations · 534 across the 49 of their papers we have counts for
3 papers · 2 filters
von Neuman algebras of strongly connected higher-rank graphs
Marcelo Laca, Nadia S. Larsen, Sergey Neshveyev +2
We investigate the factor types of the extremal KMS states for the preferred dynamics on the Toeplitz algebra and the Cuntz--Krieger algebra of a strongly connected finite -grap…
KMS states on the C*-algebra of a higher-rank graph and periodicity in the path space
Astrid an Huef, Marcelo Laca, Iain Raeburn +1
We study the KMS states of the C*-algebra of a strongly connected finite k-graph. We find that there is only one 1-parameter subgroup of the gauge action that can admit a KMS state…
KMS states on the C*-algebras of reducible graphs
Astrid an Huef, Marcelo Laca, Iain Raeburn +1
We consider the dynamics on the C*-algebras of finite graphs obtained by lifting the gauge action to an action of the real line. Enomoto, Fujii and Watatani proved that if the vert…