130 citations · 534 across the 49 of their papers we have counts for
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Reconstructing directed graphs from generalised gauge actions on their Toeplitz algebras
Nathan Brownlowe, Marcelo Laca, David Robertson +1
We show how to reconstruct a finite directed graph E from its Toeplitz algebra, its gauge action, and the canonical finite-dimensional abelian subalgebra generated by the vertex pr…
Ground states of groupoid C*-algebras, phase transitions and arithmetic subalgebras for Hecke algebras
Marcelo Laca, Nadia S. Larsen, Sergey Neshveyev
We consider the Hecke pair consisting of the group of affine transformations of a number field that preserve the orientation in every real embedding and the subgroup $P…
Phase transitions on C*-algebras arising from number fields and the generalized Furstenberg conjecture
Marcelo Laca, Jacqueline M. Warren
In recent work, Cuntz, Deninger and Laca have studied the Toeplitz type C*-algebra associated to the affine monoid of algebraic integers in a number field, under a time evolution d…