We study representations of a Leavitt path algebra L of a finitely separated digraph Γ over a
field. We show that the category of L-modules is equivalent to a full subcategory of quiver …

Leavitt path algebras are associated to di (rected) graphs and there is a combinatorial
procedure (the reduction algorithm) making the digraph smaller while preserving the Morita …

In this paper, we provide the structure of Hopf graphs associated to pairs (G, r) consisting of
groups G together with ramification datas r and their Leavitt path algebras. Consequently …

Abstract The Gelfand–Kirillov dimension is a well established quantity to classify the growth
of infinite dimensional algebras. In this article we introduce the algebraic entropy for path …

We achieve an extremely useful description (up to isomorphism) of the Leavitt path algebra
LK (E) of a finite graph E with coefficients in a field K as a direct sum of matrix rings over K …

In addition to extending some facts from field coefficients to commutative ring coefficients for
Leavitt path algebras with new shorter proofs, we also prove some results that are new even …

For an ample groupoid 𝒢 and a unit x of 𝒢, Steinberg constructed the induction and
restriction functors between the category of modules over the Steinberg algebra AR (𝒢) and …

The Gelfand-Kirillov dimension is a well established quantity to classify the growth of infinite
dimensional algebras. In this article we introduce the algebraic entropy for path algebras …

Anick type automorphisms and new irreducible representations of Leavitt path algebras Page 1
J. Noncommut. Geom. 17 (2023), 811–834 DOI 10.4171/JNCG/489 © 2023 European …

For an ample groupoid $\mathcal {G} $ and a unit $ x $ of $\mathcal {G} $, Steinberg
constructed the induction and restriction functors between the category of modules over the …