dc.date.accessioned | 2013-03-12T08:17:25Z | |
dc.date.available | 2013-03-12T08:17:25Z | |
dc.date.issued | 2005 | en_US |
dc.date.submitted | 2009-11-20 | en_US |
dc.identifier.uri | http://hdl.handle.net/10852/10559 | |
dc.description.abstract | The topological Hochschild homology THH(R) of a commutative S-algebra (E∞ ring spectrum) R naturally has the structure of a Hopf algebra over R, in the homotopy category. We show that under a flatness assumption this makes the Bökstedt spectral sequence converging to the mod p homology of THH(R) into a Hopf algebra spectral sequence. We then apply this additional structure to study some interesting examples, including the commutative S-algebras ku, ko, tmf, ju and j, and to calculate the homotopy groups of THH(ku) and THH(ko) after smashing with suitable finite complexes. This is part of a program to make systematic computations of the algebraic K-theory of S-algebras, using topological cyclic homology. | eng |
dc.language.iso | eng | en_US |
dc.publisher | Matematisk Institutt, Universitetet i Oslo | |
dc.relation.ispartof | Preprint series. Pure mathematics http://urn.nb.no/URN:NBN:no-8076 | en_US |
dc.relation.uri | http://urn.nb.no/URN:NBN:no-8076 | |
dc.rights | © The Author(s) (2005). This material is protected by copyright law. Without explicit authorisation, reproduction is only allowed in so far as it is permitted by law or by agreement with a collecting society. | |
dc.title | HOPF ALGEBRA STRUCTURE ON TOPOLOGICAL HOCHSCHILD HOMOLOGY | en_US |
dc.type | Research report | en_US |
dc.date.updated | 2009-11-20 | en_US |
dc.rights.holder | Copyright 2005 The Author(s) | |
dc.creator.author | Angeltveit, Vigleik | en_US |
dc.creator.author | Rognes, John | en_US |
dc.subject.nsi | VDP::410 | en_US |
dc.identifier.urn | URN:NBN:no-23574 | en_US |
dc.type.document | Forskningsrapport | en_US |
dc.identifier.duo | 97063 | en_US |
dc.identifier.fulltext | Fulltext https://www.duo.uio.no/bitstream/handle/10852/10559/1/pm05-05.pdf | |