Abstract
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.
Original language | English |
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Pages (from-to) | 30-68 |
Number of pages | 39 |
Journal | Journal of Algebra |
Volume | 622 |
Issue number | 15 |
DOIs | |
State | Published - 15 May 2023 |
Keywords
- Crossed products
- Cyclic homology
- Hochschild (co)homology
- Weak Hopf algebras