منابع مشابه
On 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 کاملCyclic Homology of Hopf Comodule Algebras and Hopf Module Coalgebras
In this paper we construct a cylindrical module A♮H for an Hcomodule algebra A, where the antipode of the Hopf algebra H is bijective. We show that the cyclic module associated to the diagonal of A♮H is isomorphic with the cyclic module of the crossed product algebra A ⋊H. This enables us to derive a spectral sequence for the cyclic homology of the crossed product algebra. We also construct a c...
متن کاملHopf Algebra Equivariant Cyclic Homology and Cyclic Homology of Crossed Product Algebras
We introduce the cylindrical module A♮H, where H is a Hopf algebra with S2 = idH and A is a Hopf module algebra over H. We show that there exists a cyclic map between the cyclic module of the crossed product algebra A⋊H and ∆(A♮H), the cyclic module related to the diagonal of A♮H. In the cocommutative case, ∆(A♮H) ∼= C•(A ⋊H). Finally we approximate ∆(A♮H) by a spectral sequence and we give an ...
متن کاملHomology TQFT’s via Hopf Algebras
In [5] Frohman and Nicas define a topological quantum field theory via the intersection homology of U(1)-representation varieties J(X) = Hom(π1(X), U(1)). We show that this TQFT is equivalent to the combinatorially constructed Hennings-TQFT based on the quasitriangular Hopf algebra N = Z/2 ⋉ ∧ ∗ R. The natural SL(2,R)-action on N is identified with the SL(2,R)action for the Lefschetz decomposit...
متن کاملHopf–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...
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ژورنال
عنوان ژورنال: K-Theory
سال: 2001
ISSN: 1573-0514,0920-3036
DOI: 10.1023/a:1012274109623