We show that any pointed, preordered module map BF gr (E)→ BF gr (F) between Bowen-
Franks modules of finite graphs can be lifted to a unital, graded, diagonal preserving⁎ …

Abstract Work of Jean Renault shows that, for topologically principal étale groupoids, a
diagonal-preserving isomorphism of reduced C⁎-algebras yields an isomorphism of …

Let G be a group and ℓ a commutative unital∗-ring with an element λ∈ ℓ such that λ+ λ∗= 1.
We introduce variants of hermitian bivariant K-theory for∗-algebras equipped with a G …

The talented monoid of a directed graph with applications to graph algebras Page 1 Rev. Mat.
Iberoam. 38 (2022), no. 1, 223–256 DOI 10.4171/RMI/1277 © 2021 Real Sociedad …

Abstract The Graded Classification Conjecture states that the pointed K 0 gr-group is a
complete invariant of the Leavitt path algebras of finite graphs when these algebras are …

We study strongly graded groupoids, which are topological groupoids G equipped with a
continuous, surjective functor κ: G→ Γ, to a discrete group Γ, such that κ− 1 (γ) κ− 1 (δ)= κ− 1 …

In this paper, we prove that the algebra of an étale groupoid with totally disconnected unit
space has a simple algebra over a field if and only if the groupoid is minimal and effective …

Weighted Leavitt path algebras were introduced in 2013 by Roozbeh Hazrat. These
algebras generalise simultaneously the usual Leavitt path algebras and William Leavitt's …

In this paper we give some sufficient and some necessary conditions for an étale groupoid
algebra to be a prime ring. As an application we recover the known primeness results for …

We characterise directed graphs consisting of disjoint cycles via their talented monoids. We
show that a graph E consists of disjoint cycles precisely when its talented monoid TE has a …