activity
19952025
most citedPartial dynamical systems and C*-algebras generated by partial isometries

130 citations · 534 across the 49 of their papers we have counts for

collaborators

49 papers

math.OA2025

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…

math.OA2024

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.…

math.OA2024

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…

math.OA2023

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…

math-ph2022★ 2 cited

Quantum Statistical Mechanics via Boundary Conditions. A Groupoid Approach to Quantum Spin Systems

Lucas Affonso, Rodrigo Bissacot, Marcelo Laca

We use a groupoid model for the spin algebra to introduce boundary conditions on quantum spin systems via a Poisson point process representation. We can describe KMS states of quan…

math.OA2022

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-…