(Co)homology of crossed products by weak Hopf algebras

被引：0

作者：

Guccione, Jorge A. ^{[1
,2
]}

Guccione, Juan J. ^{[1
,3
]}

Valqui, Christian ^{[3
,4
,5
]}

机构：

[1] UBA, Fac Ciencias Exactas & Nat, Dept Matemdt, Pabellon 1 Ciudad Univ,Intendente Guiraldes 2160, Buenos Aires, Argentina

[2] UBA, Fac Ciencias Exactas & Nat, Inst Invest Matemdt Luis A Santalo, Pabellon 1 Ciudad Univ,Intendente Guiraldes 2160, RA-1428 Buenos Aires, Argentina

[3] Inst Argentino Matemat CONICET, Savedra 15 3er Piso,C1083ACA, Buenos Aires, Argentina

[4] Pontificia Univ Catolica Peru, Secc Matemdt, PUCP, Av Univ 1801, Lima, Peru

[5] Inst Matemat & Ciencias Afines IMCA, Calle Biologos 245,Urb San Cesar, Lima, Peru

来源：

JOURNAL OF ALGEBRA | 2023年 / 622卷

关键词：

Crossed products; Cyclic homology; Hochschild (co)homology; Weak Hopf algebras; C-CLEFT EXTENSIONS; CYCLIC HOMOLOGY; HOCHSCHILD HOMOLOGY; MONOGENIC EXTENSIONS; COHOMOLOGY;

D O I：

10.1016/j.jalgebra.2023.01.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain a mixed complex simpler than the canonical one that computes the cyclic type homologies of a crossed product with invertible cocycle A xf rho H, 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.(c) 2023 Elsevier Inc. All rights reserved.

引用

页码：30 / 68

页数：39

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