10 citations · 34 across the 10 of their papers we have counts for
14 papers
A revised augmented Cuntz semigroup
Leonel Robert, Luis Santiago
We revise the construction of the augmented Cuntz semigroup functor used by the first author to classify inductive limits of 1-dimensional noncommutative CW complexes. The original…
Rokhlin dimension: duality, tracial properties, and crossed products
Eusebio Gardella, Ilan Hirshberg, Luis Santiago
We study compact group actions with finite Rokhlin dimension, particularly in relation to crossed products. For example, we characterize the duals of such actions, generalizing pre…
The equivariant Cuntz semigroup
Eusebio Gardella, Luis Santiago
We introduce an equivariant version of the Cuntz semigroup, that takes an action of a compact group into account. The equivariant Cuntz semigroup is naturally a semimodule over the…
Decomposition rank of approximately subhomogeneous C*-algebras
George A. Elliott, Zhuang Niu, Luis Santiago +1
It is shown that every Jiang-Su stable approximately subhomogeneous C*-algebra has finite decomposition rank. Previously, it was not even known that such algebras have finite nucle…
Equivariant *-homomorphisms, Rokhlin constraints and equivariant UHF-absorption
Eusebio Gardella, Luis Santiago
We classify equivariant *-homomorphisms between C*-dynamical systems associated to actions of finite groups on C*-algebras with the Rokhlin property. In addition, the given actions…
Crossed product by actions of finite groups with the Rokhlin Property
Luis Santiago
We introduce and study a Rokhlin-type property for actions of finite groups on (not necessarily unital) C*-algebras. We show that the corresponding crossed product C*-algebras can…