Hopf algebra equivariant cyclic homology and cyclic homology of crossed product algebras
نویسندگان
چکیده
منابع مشابه
Hopf 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 ...
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ژورنال
عنوان ژورنال: Journal für die reine und angewandte Mathematik (Crelles Journal)
سال: 2003
ISSN: 0075-4102,1435-5345
DOI: 10.1515/crll.2003.046