The great challenge in writing a book about a topic of ongoing mathematical research
interest lies in determining who and what. Who are the readers for whom the book is …

The algebraic structures known as Leavitt path algebras were initially developed in 2004 by
Ara, Moreno and Pardo, and almost simultaneously (using a different approach) by the …

We study the category of left unital graded modules over the Steinberg algebra of a graded
ample Hausdorff groupoid. In the first part of the paper, we show that this category is …

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⁎ …

We introduce two algebras associated with a subshift over an arbitrary alphabet. One is
unital, and the other not necessarily. We focus on the unital case and describe a conjugacy …

Shift equivalences through the lens of Cuntz–Krieger algebras Page 1 ANALYSIS & PDE msp
Volume 17 No. 1 2024 TOKE MEIER CARLSEN, ADAM DOR-ON AND SØREN EILERS SHIFT …

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 …

When the theory of Leavitt path algebras was already quite advanced, it was discovered that
some of the more difficult questions were susceptible to a new approach using topological …

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 …