Guido Arnone

activity

20212024

collaborators

3 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.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.RA2021

Nonexistence of graded unital homomorphisms between Leavitt algebras and their Cuntz splices

Guido Arnone, Guillermo Cortiñas

Let $n \geq 2$ , let $R_{n}$ be the graph consisting of one vertex and $n$ loops and let $R_{n^{-}}$ be its Cuntz splice. Let $L_{n} = L (R_{n})$ and $L_{n^-}=L(\ma…

Homology of Steinberg algebras

Graded K-theory and Leavitt path algebras

Nonexistence of graded unital homomorphisms between Leavitt algebras and their Cuntz splices

Graded $K$ -theory and Leavitt path algebras