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 …

We develop some aspects of the homological algebra of persistence modules, in both the
one-parameter and multi-parameter settings, considered as either sheaves or graded …

Let A→ B be a G-Galois extension of rings, or more generally of E∞-ring spectra in the
sense of Rognes. A basic question in algebraic K-theory asks how close the map K (A)→ K …

The theory of Leavitt path algebras is intrinsically related, via graphs, to the theory of
symbolic dynamics and $ C^* $-algebras where the major classification programs have …

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 …

In this article, we introduce the concepts of graded $ s $-prime submodules which is a
generalization of graded prime submodules. We study the behavior of this notion with …

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⁎ …

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 …

We present a new class of graded irreducible representations of a Leavitt path algebra. This
class is new in the sense that its representation space is not isomorphic to any of the existing …

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 …