Guido Arnone

activity

20212026

most citedLifting morphisms between graded Grothendieck groups of Leavitt path algebras

7 citations · 7 across the 5 of their papers we have counts for

collaborators

6 papers

math.KT2026

Bredon sheaf cohomology

Guido Arnone, Devarshi Mukherjee, Thomas Nikolaus

For a finite group $G$ , we compute the algebraic $K$ -theory of the category of equivariant sheaves on a locally compact Hausdorff $G$ -space, generalizing a result of Efimov, and de…

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.KT2023

Graded homotopy classification of Leavitt path algebras

Guido Arnone

We show that the graded Grothendieck group classifies unital Leavitt path algebras of primitive graphs up to graded homotopy equivalence. To this end, we further develop classifica…

math.RA2022★ 7 cited

Lifting morphisms between graded Grothendieck groups of Leavitt path algebras

Guido Arnone

We show that any pointed, preordered module map $BF_{gr} (E) \to BF_{gr} (F)$ between Bowen-Franks modules of finite graphs can be lifted to a…

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…

Bredon sheaf cohomology

Homology of Steinberg algebras

Graded homotopy classification of Leavitt path algebras

Lifting morphisms between graded Grothendieck groups of Leavitt path 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