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Ara, P.; Cortiñas, G. "Tensor products of Leavitt path algebras" (2013) Proceedings of the American Mathematical Society. 141(8):2629-2639
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Abstract:

We compute the Hochschild homology of Leavitt path algebras over a field k. As an application, we show that L 2 and L 2 ⊗ L 2 have different Hochschild homologies, and so they are not Morita equivalent; in particular, they are not isomorphic. Similarly, L ∞ and L ∞ ⊗ L ∞ are distinguished by their Hochschild homologies, and so they are not Morita equivalent either. By contrast, we show that K-theory cannot distinguish these algebras; we have K * (L * 2) = K * (L 2 ⊗ L 2 ) = 0 and K * (L ∞ ) = K * (L ∞ ⊗ L ∞ ) = K * (k). © 2012 American Mathematical Society.

Registro:

Documento: Artículo
Título:Tensor products of Leavitt path algebras
Autor:Ara, P.; Cortiñas, G.
Filiación:Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra (Barcelona), Spain
Departamento de Matemática and Instituto Santaló, Ciudad Universitaria Pab 1, 1428 Buenos Aires, Argentina
Año:2013
Volumen:141
Número:8
Página de inicio:2629
Página de fin:2639
DOI: http://dx.doi.org/10.1090/S0002-9939-2013-11561-3
Título revista:Proceedings of the American Mathematical Society
Título revista abreviado:Proc. Am. Math. Soc.
ISSN:00029939
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00029939_v141_n8_p2629_Ara

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Citas:

---------- APA ----------
Ara, P. & Cortiñas, G. (2013) . Tensor products of Leavitt path algebras. Proceedings of the American Mathematical Society, 141(8), 2629-2639.
http://dx.doi.org/10.1090/S0002-9939-2013-11561-3
---------- CHICAGO ----------
Ara, P., Cortiñas, G. "Tensor products of Leavitt path algebras" . Proceedings of the American Mathematical Society 141, no. 8 (2013) : 2629-2639.
http://dx.doi.org/10.1090/S0002-9939-2013-11561-3
---------- MLA ----------
Ara, P., Cortiñas, G. "Tensor products of Leavitt path algebras" . Proceedings of the American Mathematical Society, vol. 141, no. 8, 2013, pp. 2629-2639.
http://dx.doi.org/10.1090/S0002-9939-2013-11561-3
---------- VANCOUVER ----------
Ara, P., Cortiñas, G. Tensor products of Leavitt path algebras. Proc. Am. Math. Soc. 2013;141(8):2629-2639.
http://dx.doi.org/10.1090/S0002-9939-2013-11561-3