Simplicial Hochschild cochains as an Amitsur complex

Simple item page
dc.creatorKadison, Lars
dc.date2007-11-23
dc.date.accessioned2026-07-07T08:44:41Z
dc.date.available2026-07-07T08:44:41Z
dc.descriptionIt is shown that the cochain complex of 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 {}_BA_B over the centralizer R = A^B with grouplike element 1_S, which itself is isomorphic to the Cartier complex of S with coefficients in the (S,S)-bicomodule R^e. This specializes to finite dimensional algebras, H-separable extensions and Hopf-Galois extensions.
dc.description5 pages formatted for AGMF proceedings
dc.identifierhttps://arxiv.org/abs/0711.3738
dc.identifierhttp://arxiv.org/abs/0711.3738
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/142744
dc.subjectRings and Algebras
dc.subjectK-Theory and Homology
dc.subject18G25
dc.titleSimplicial Hochschild cochains as an Amitsur complex
dc.typetext

Files

Collections

arXiv