130 citations · 534 across the 49 of their papers we have counts for
6 papers · 1 filter
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…