130 citations · 534 across the 49 of their papers we have counts for
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Supercritical phase transition on the Toeplitz algebra of
Marcelo Laca, Tyler Schulz
We study the high-temperature equilibrium for the C*-algebra recently considered by an Huef, Laca and Raeburn. We show that the si…
On Toeplitz algebras of product systems
Elias G. Katsoulis, Marcelo Laca, Camila F. Sehnem
In the setting of product systems over group-embeddable monoids, we consider nuclearity of the associated Toeplitz C*-algebra in relation to nuclearity of the coefficient algebra.…
Crystallization of C*-algebras
Marcelo Laca, Sergey Neshveyev, Makoto Yamashita
Given a C-algebra with an almost periodic time evolution , we define a new C-algebra , which we call the crystal of , that represents the zero temperatur…
Relative topological principality and the ideal intersection property for groupoid C*-algebras
Chris J. Eagle, Gavin Goerke, Marcelo Laca
We introduce the notion of relative topological principality for a family of open subgroupoids of a Hausdorff étale groupoid . The C*-algebras of the grou…
KMS states of quasi-free dynamics on -algebras of product systems over right LCM monoids
Luca Eva Gazdag, Marcelo Laca, Nadia S. Larsen
We generalise recent results of Afsar, Larsen and Neshveyev for product systems over quasi-lattice orders by showing that the equilibrium states of quasi-free dynamics on the Nica-…
Boundary quotients of the right Toeplitz algebra of the affine semigroup over the natural numbers
Astrid an Huef, Marcelo Laca, Iain Raeburn
We consider the semigroup crossed product of the additive natural numbers by the multiplicative natural numbers. We study its Toeplitz C*-algebra generated by the right-regular rep…
Co-universality and controlled maps on product systems over right LCM-semigroups
Evgenios T. A. Kakariadis, Elias G. Katsoulis, Marcelo Laca +1
We study the structure of C*-algebras associated with compactly aligned product systems over group embeddable right LCM-semigroups. Towards this end we employ controlled maps and a…
Equilibrium on Toeplitz extensions of higher dimensional noncommutative tori
Zahra Afsar, Marcelo Laca, Jacqui Ramagge +1
The C*-algebra generated by the left-regular representation of twisted by a -cocycle is a Toeplitz extension of an -dimensional noncommutative torus, on which…
Boundary quotient C*-algebras of semigroups
Evgenios T. A. Kakariadis, Elias G. Katsoulis, Marcelo Laca +1
We study two classes of operator algebras associated with a unital subsemigroup of a discrete group : one related to universal structures, and one related to co-universal st…
Dilation theory for right LCM semigroup dynamical systems
Marcelo Laca, Boyu Li
This paper examines actions of right LCM semigroups by endomorphisms of C*-algebras that encode an additional structure of the right LCM semigroup. We define contractive covariant…
Toeplitz algebras of semigroups
Marcelo Laca, Camila F. Sehnem
To each monoid that embeds in a group we associate a universal Toeplitz C*-algebra defined via generators and relations; is a quotient of Li's semigroup C*-al…
C*-envelopes for operator algebras with a coaction and co-universal C*-algebras for product systems
Adam Dor-On, Evgenios T. A. Kakariadis, Elias G. Katsoulis +2
A cosystem consists of a possibly nonselfadoint operator algebra equipped with a coaction by a discrete group. We introduce the concept of C*-envelope for a cosystem; roughly speak…
Amenability and functoriality of right-LCM semigroup C*-algebras
Marcelo Laca, Boyu Li
We prove a functoriality result for the full C*-algebras of right-LCM monoids with respect to monoid inclusions that are closed under factorization and preserve orthogonality, and…
Partition functions as C*-dynamical invariants and actions of congruence monoids
Chris Bruce, Marcelo Laca, Takuya Takeishi
We study the phase transition of KMS states for the C*-algebras of -semigroups of algebraic integers in which the multiplicative part is restricted to a congruence monoid, as…
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…
Equilibrium states and growth of quasi-lattice ordered monoids
Chris Bruce, Marcelo Laca, Jacqui Ramagge +1
Each multiplicative real-valued homomorphism on a quasi-lattice ordered monoid gives rise to a quasi-periodic dynamics on the associated Toeplitz C*-algebra; here we study the KMS…
Equilibrium states on operator algebras associated to self-similar actions of groupoids on graphs
Marcelo Laca, Iain Raeburn, Jacqui Ramagge +1
We consider self-similar actions of groupoids on the path spaces of finite directed graphs, and construct examples of such self-similar actions using a suitable notion of graph aut…
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…
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…
KMS states on -algebras associated to higher-rank graphs
Astrid an Huef, Marcelo Laca, Iain Raeburn +1
Consider a higher-rank graph of rank k. Both the Cuntz-Krieger algebra and the Toeplitz-Cuntz-Krieger algebra of the graph carry natural gauge actions of the torus T^k, and restric…