منابع مشابه
Hopf–cyclic Homology and Relative Cyclic Homology of Hopf–galois Extensions
The determination of cyclic (co)homology of a given algebra is a quite important and difficult problem. Let us briefly recall some of the results obtained that are somehow related to our paper. The cyclic homology of group algebras over fields of characteristic 0 was computed by Burghelea, [3]. For a complete algebraic proof of Burghelea’s result the reader is referred to [19], while a relative...
متن کاملHochschild and Cyclic Homology of Centrally Hopf-galois Extensions
Let B ⊆ A be an H-Galois extension. If M is a Hopf bimodule then HH∗(A, M), the Hochschild homology of A with coefficients in M , is a right comodule over the coalgebra CH = H/[H,H]. Given an injective left CHcomodule V , our aim is to investigate the relationship between HH∗(A, M) CHV and HH∗(B, M CHV ). The roots of this problem can be found in [Lo2], where HH∗(A,A) G and HH∗(B,B) are shown t...
متن کاملOn the cyclic Homology of multiplier Hopf algebras
In this paper, we will study the theory of cyclic homology for regular multiplier Hopf algebras. We associate a cyclic module to a triple $(mathcal{R},mathcal{H},mathcal{X})$ consisting of a regular multiplier Hopf algebra $mathcal{H}$, a left $mathcal{H}$-comodule algebra $mathcal{R}$, and a unital left $mathcal{H}$-module $mathcal{X}$ which is also a unital algebra. First, we construct a para...
متن کاملHopf Algebra Extensions of Monogenic Hopf Algebras
William M. Singer has described a cohomology theory of connected Hopf algebras which classifies extensions of a cocommutative Hopf algebra by a commutative Hopf algebra in much the same way as the cohomology of groups classifies extensions of a group by an abelian group. We compute these cohomology groups for monogenic Hopf algebras, construct an action of the base ring on the cohomology groups...
متن کاملCyclic homology and equivariant homology
The purpose of this paper is to explore the relationship between the cyclic homology and cohomology theories of Connes [9-11], see also Loday and Quillen [20], and "IF equivariant homology and cohomology theories. Here II" is the circle group. The most general results involve the definitions of the cyclic homology of cyclic chain complexes and the notions of cyclic and cocyclic spaces so precis...
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ژورنال
عنوان ژورنال: Journal of Pure and Applied Algebra
سال: 1990
ISSN: 0022-4049
DOI: 10.1016/0022-4049(90)90030-l