Guillermo Cortiñas

activity

19952024

most cited

K

-theory of Leavitt path algebras

42 citations · 240 across the 49 of their papers we have counts for

collaborators

54 papers

math.KT2024

Homology of Steinberg algebras

Guido Arnone, Guillermo Cortiñas, Devarshi Mukherjee

We study homological invariants of the Steinberg algebra $A_{k} (G)$ of an ample groupoid $G$ over a commutative ring $k$ . For $G$ principal or…

math.OA2023

Exel-Pardo algebras with a twist

Guillermo Cortiñas

Katsura associated a $C^{*}$ -algebra $C_{A, B}^{*}$ to integral matrices $A \geq 0$ and $B$ of the same size, gave sufficient conditions on $(A, B)$ making it simple purely infinite (SPI),…

math.FA2023

Simplicity of $L^{p}$ -graph algebras

Guillermo Cortiñas, Diego Montero, María Eugenia Rodríguez

For each $1 \leq p < \infty$ and each countable directed graph $E$ we consider the Leavitt path $C$ -algebra $L (E)$ and the $L^{p}$ -operator graph algebra $O^{p} (E)$ . We…

math.KT2022

A Quillen model structure of local homotopy equivalences

Devarshi Mukherjee, Guillermo Cortiñas

In this note, we construct a closed model structure on the category of $Z /2 Z$ -graded complexes of projective systems of ind-Banach spaces. When the base field is…

math.KT2022

Graded $K$ -theory and Leavitt path algebras

Guido Arnone, Guillermo Cortiñas

Let $G$ be a group and $ℓ$ a commutative unital $*$ -ring with an element $λ \in ℓ$ such that $λ + λ^{*} = 1$ . We introduce variants of hermitian bivariant $K$ -theory for $\…

math.OA2021

Lifting graph $C^{*}$ -algebra maps to Leavitt path algebra maps

Guillermo Cortiñas

Let $ξ : C^{*} (E) \to C^{*} (F)$ be a unital $*$ -homomorphism between simple purely infinite Cuntz-Krieger algebras of finite graphs. We prove that there exists a unital $*$ -homomorphism $…

Homology of Steinberg algebras

Exel-Pardo algebras with a twist

Simplicity of Lp-graph algebras

A Quillen model structure of local homotopy equivalences

Graded K-theory and Leavitt path algebras

Lifting graph C∗-algebra maps to Leavitt path algebra maps

Simplicity of $L^{p}$ -graph algebras

Graded $K$ -theory and Leavitt path algebras

Lifting graph $C^{*}$ -algebra maps to Leavitt path algebra maps