Given an ample, Hausdorff groupoid 𝒢, and a unital commutative ring R, we consider the
Steinberg algebra AR⁢(𝒢). First we prove a uniqueness theorem for this algebra and then …

Let K be a field, and let E be a row-finite (directed) graph. We present a construction of a
wealth of maximal commutative subalgebras of the Leavitt path algebra LK (E), which is a far …

Considering prime Leavitt path algebras LK⁢(E), with E being an arbitrary graph with at
least two vertices, and K being any field, we construct a class of maximal commutative …

Let Λ and Γ be row finite k-graphs without sources. We show that∗-algebra homomorphisms
ϕ: KPC (Λ)→ KPC (Γ) extend to∗-algebra homomorphisms ϕ: C∗(Λ)→ C∗(Γ). We also …

For an ample Hausdorff groupoid $\mathcal {G} $, and the Steinberg algebra $ A_R
(\mathcal {G}) $ with coefficients in the commutative ring $ R $ with unit, the centralizer is …

For any commutative unital ring R and finitely aligned k-graph Λ with| Λ|<∞ without cycles,
we can realise Kumjian-Pask algebra KP R (Λ) as a direct sum of of matrix algebra over …

Diberikan suatu graf-k berhingga baris tanpa sources Λ dan suatu ring komutatif R dengan
unsur kesatuan. Aljabar Kumjian-Pask KPR (Λ) didefinisikan sebagai aljabar-R universal …

In the early 1960's WG Leavitt gave examples of algebras not satisfying the Invariant Basis
Number (IBN) property. It is known that a unital ring S has the Invariant Basis Number (IBN) …