(Co)homology of crossed products by weak Hopf algebras

Jorge A. Guccione, Juan J. Guccione, Christian Valqui

Producción científica: Contribución a una revistaArtículorevisión exhaustiva

Resumen

We obtain a mixed complex simpler than the canonical one that computes the cyclic type homologies of a crossed product with invertible cocycle A×ρfH, of a weak module algebra A by a weak Hopf algebra H. This complex is endowed with a filtration. The spectral sequence of this filtration generalizes the spectral sequence obtained in [12]. When f takes its values in a separable subalgebra of A that satisfies suitable conditions, the above mentioned mixed complex is provided with another filtration, whose spectral sequence generalize the Feigin-Tsygan spectral sequence.

Idioma originalInglés
Páginas (desde-hasta)30-68
Número de páginas39
PublicaciónJournal of Algebra
Volumen622
DOI
EstadoPublicada - 15 may. 2023

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