Artículo
Tensor products of Leavitt path algebras
Fecha de publicación:
04/2013
Editorial:
American Mathematical Society
Revista:
Proceedings of the American Mathematical Society
ISSN:
0002-9939
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
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 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∗(L2) = K∗(L2 ⊗ L2) = 0 and K∗(L∞) = K∗(L∞ ⊗ L∞) = K∗(k).
Palabras clave:
Leavitt Path Algebras
,
Cuntz-Krieger Algebras
,
Hochschild Homology
,
K-Theory
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Articulos(IMAS)
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Citación
Ara, Pere; Cortiñas, Guillermo Horacio; Tensor products of Leavitt path algebras; American Mathematical Society; Proceedings of the American Mathematical Society; 141; 8; 4-2013; 2629-2639
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