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Abstract:

For a general crossed product E = A#f H, of an algebra A by a Hopf algebra H, we obtain complexes smaller than the canonical ones, giving the Hochschild homology and cohomology of E. These complexes are equipped with natural filtrations. The spectral sequences associated to them coincide with the ones obtained using a natural generalization of the direct method introduced in Trans. Amer. Math. Soc. 74 (1953) 110-134. We also get that if the 2-cocycle f takes its values in a separable subalgebra of A, then the Hochschild (co)homology of E with coefficients in M is the (co)homology of H with coefficients in a (co)chain complex. © 2002 Kluwer Academic Publishers.

Registro:

Documento: Artículo
Título:Hochschild (Co)homology of hopf crossed products
Autor:Guccione, J.A.; Guccione, J.J.
Filiación:Departamento de Matemática, Facultad de Ciencias Exactas y Naturales, Pabellón 1 - Ciudad Universitaria, (1428) Buenos Aires, Argentina
Palabras clave:Hochschild homology; Hopf algebra
Año:2002
Volumen:25
Número:2
Página de inicio:139
Página de fin:169
DOI: http://dx.doi.org/10.1023/A:1015689030210
Título revista:K-Theory
Título revista abreviado:K-Theory
ISSN:09203036
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09203036_v25_n2_p139_Guccione

Referencias:

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Citas:

---------- APA ----------
Guccione, J.A. & Guccione, J.J. (2002) . Hochschild (Co)homology of hopf crossed products. K-Theory, 25(2), 139-169.
http://dx.doi.org/10.1023/A:1015689030210
---------- CHICAGO ----------
Guccione, J.A., Guccione, J.J. "Hochschild (Co)homology of hopf crossed products" . K-Theory 25, no. 2 (2002) : 139-169.
http://dx.doi.org/10.1023/A:1015689030210
---------- MLA ----------
Guccione, J.A., Guccione, J.J. "Hochschild (Co)homology of hopf crossed products" . K-Theory, vol. 25, no. 2, 2002, pp. 139-169.
http://dx.doi.org/10.1023/A:1015689030210
---------- VANCOUVER ----------
Guccione, J.A., Guccione, J.J. Hochschild (Co)homology of hopf crossed products. K-Theory. 2002;25(2):139-169.
http://dx.doi.org/10.1023/A:1015689030210