14 citations · 14 across the 1 of their papers we have counts for
7 papers
Phase transitions on Hecke C*-algebras and class-field theory over Q
Marcelo Laca, Machiel van Frankenhuijsen
We associate a canonical Hecke pair of semidirect product groups to the ring inclusion of the algebraic integers $\oo$ in a number field $\kk$, and we construct a C*-dynamical syst…
Hecke algebras of semidirect products
Marcelo Laca, Nadia S. Larsen
We consider group-subgroup pairs in which the group is a semidirect product and the subgroup is contained in the normal part. We give conditions for the pair to be a Hecke pair and…
Partial Dynamical Systems and the KMS Condition
Ruy Exel, Marcelo Laca
Given a countably infinite 0-1 matrix A without identically zero rows, let O_A be the Cuntz-Krieger algebra recently introduced by the authors and T_A be the Toeplitz extension of…
From endomorphisms to automorphisms and back: dilations and full corners
Marcelo Laca
When S is a discrete subsemigroup of a discrete group G such that G = S^{-1} S, it is possible to extend circle-valued multipliers from S to G; to dilate (projective) isometric rep…
The ideal structure of the Hecke C*-algebra of Bost and Connes
Marcelo Laca, Iain Raeburn
We compute explicitly the primitive ideal space of the Bost-Connes Hecke C*-algebra by embedding it as a full corner in a transformation group C*-algebra and applying a general the…
The K-theory of Cuntz-Krieger algebras for infinite matrices
Ruy Exel, Marcelo Laca
We compute the K-theory of the Cuntz-Krieger C^*-algebras associated to infinite matrices.