Skip navigation
Skip navigation

Noncommutative localisation in algebraic K-theory II

Neeman, Amnon

Description

In [Amnon Neeman, Andrew Ranicki, Noncommutative localisation in algebraic K-theory I, Geom. Topol. 8 (2004) 1385-1425] we proved a localisation theorem in the algebraic K-theory of noncommutative rings. The main purpose of the current article is to express the general theorem of the previous paper in a more user-friendly fashion, in a way more suitable for applications. In the process we compare our result to the existing theorems in the literature, showing how the previous paper improves all...[Show more]

dc.contributor.authorNeeman, Amnon
dc.date.accessioned2015-12-08T22:19:40Z
dc.identifier.issn0001-8708
dc.identifier.urihttp://hdl.handle.net/1885/31651
dc.description.abstractIn [Amnon Neeman, Andrew Ranicki, Noncommutative localisation in algebraic K-theory I, Geom. Topol. 8 (2004) 1385-1425] we proved a localisation theorem in the algebraic K-theory of noncommutative rings. The main purpose of the current article is to express the general theorem of the previous paper in a more user-friendly fashion, in a way more suitable for applications. In the process we compare our result to the existing theorems in the literature, showing how the previous paper improves all the existing results. It should be pointed out that there have been two very interesting recent preprints on related topics. The reader is referred to the beautiful papers of Krause [Henning Krause, Cohomological quotients and smashing localizations, http://wwwmath.upb.de/~hkrause/publications.html. [8]] and Dwyer [William G. Dwyer, Noncommutative localization in homotopy theory, preprint, http://www.nd.edu/~wgd/. [4]]. Krause studies the lifting of chain complexes and the relation with the telescope conjecture, and Dwyer generalises to the homotopy theoretic framework.
dc.publisherAcademic Press
dc.sourceAdvances in Mathematics
dc.subjectKeywords: K-theory; Noncommutative localisation; Triangulated category
dc.titleNoncommutative localisation in algebraic K-theory II
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume213
dc.date.issued2007
local.identifier.absfor010103 - Category Theory, K Theory, Homological Algebra
local.identifier.ariespublicationu3169606xPUB85
local.type.statusPublished Version
local.contributor.affiliationNeeman, Amnon, College of Physical and Mathematical Sciences, ANU
local.description.embargo2037-12-31
local.bibliographicCitation.issue2
local.bibliographicCitation.startpage785
local.bibliographicCitation.lastpage819
local.identifier.doi10.1016/j.aim.2007.01.010
dc.date.updated2015-12-08T08:24:05Z
local.identifier.scopusID2-s2.0-34248338366
CollectionsANU Research Publications

Download

File Description SizeFormat Image
01_Neeman_Noncommutative_localisation_in_2007.pdf302.16 kBAdobe PDF    Request a copy


Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  17 November 2022/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator