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Homotopy classification of Leavitt path algebras
(Academic Press Inc Elsevier Science, 2020-03)
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 ...
Algebraic bivariant K-theory and Leavitt path algebras
(European Mathematical Society, 2021-02-02)
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 ...
Tensor products of Leavitt path algebras
(American Mathematical Society, 2013-04)
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 ...
Partial actions of inverse semigroups and their associated algebras
(2018)
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 ...
Lp-operator algebras associated with oriented graphs
(Theta Foundation, 2018-04)
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 ...