When Γ is a row-finite digraph, we classify all finite-dimensional modules of the Leavitt path
algebra L⁢(Γ) via an explicit Morita equivalence given by an effective combinatorial …

In this paper, we provide the structure of the Leavitt path algebra of a finite graph via some
step-by-step process of source eliminations, and restate Kanuni and Özaydin's nice criterion …

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 …

Several constructions on directed graphs originating in the study of flow equivalence in
symbolic dynamics (eg, splittings and delays) are known to preserve the Morita equivalence …

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 …

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 …

The purpose of this article is to provide a common framework for studying various
generalizations of Leavitt path algebras. We first define Cohn-Leavitt path algebras of …

After developing the relevant background and proving some general results in the early
chapters, the main novel content of this thesis is the computation of the $ i $-th homology …

In this thesis we establish the technique used to construct universal algebras, and apply this
technique to construct Leavitt path algebras. We then establish the basic language of …

The celebrated Gelfand-Naimark Theorem states that the category of compact Hausdorff
topological spaces is equivalent to the opposite category of commutative unital C∗ …