Simplicial Hochschild cochains as an Amitsur complex 1
Department of Mathematics, University of Pennsylvania, Philadelphia, PA 19104, U.S.A.
- Corresponding Author:
- Lars KADISON
Department of Mathematics, Louisiana State University, Baton Rouge, LA 70808, U.S.A.
E-mail: [email protected]
Received Date: December 12, 2007; Revised Date: April 07, 2008
It is shown how the cochain complex of the relative Hochschild A-valued cochains of a depth two extension A|B under cup product is isomorphic as a differential graded algebra with the Amitsur complex of the coring S = End BAB over the centralizer R = AB with grouplike element 1S. This specializes to finite dimensional algebras, Hopf-Galois extensions and H-separable extensions.