In this paper we address the classification problem for purely infinite simple Leavitt path algebras of finite graphs over a field ℓ. Each graph E has associated a Leavitt path ℓ-algebra L(E). There is an open question ...

We investigate to what extent homotopy invariant, excisive and matrix stable homology theories help one distinguish between the Leavitt path algebras L.E/ and L.F / of graphs E and F over a commutative ground ring `. We ...

We compute the Hochschild homology of Leavitt path algebras over a field k. As an application, we show that L2 and L2 ⊗ L2 have different Hochschild homologies, and so they are not Morita equivalent; in particular, they ...

Estudamos a interação entre álgebras de Steinberg e skew álgebras de grupos parciais e caracterizamos isomorfismos de skew álgebras de grupos que preservam diagonal, sobre álgebras comutativas, em termos de equivalência ...

For each 1 ≤ p < ∞ and each countable oriented graph Q we introduce an L p -operator algebra O p (Q) which contains the Leavitt path C-algebra LQ as a dense subalgebra and is universal for those L p -representations of LQ ...