Hochschild homology of twisted tensor products

We compute the Hochschild homology of some twisted tensor products of algebras, which are a natural generalization of the Ore extensions. We apply our result to the ring DQ,P(X, ∂/∂X) of differential operators of the multiparametric affine space, the ring Oq(spℂ2v) of coordinates of the quantum symp...

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Autores principales: Guccione, Jorge Alberto, Guccione, Juan José
Publicado: 1999
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Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09203036_v18_n4_p363_Guccione
http://hdl.handle.net/20.500.12110/paper_09203036_v18_n4_p363_Guccione
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Sumario:We compute the Hochschild homology of some twisted tensor products of algebras, which are a natural generalization of the Ore extensions. We apply our result to the ring DQ,P(X, ∂/∂X) of differential operators of the multiparametric affine space, the ring Oq(spℂ2v) of coordinates of the quantum symplectic 2v-dimensional space and the ring Oq(soℂ2v) of coordinates of the quantum 2v-dimensional Euclidean space. © 1999 Kluwer Academic Publishers.