Noncommutative localisation in algebraic K-theory II
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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.author | Neeman, Amnon | |
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dc.date.accessioned | 2015-12-08T22:19:40Z | |
dc.identifier.issn | 0001-8708 | |
dc.identifier.uri | http://hdl.handle.net/1885/31651 | |
dc.description.abstract | 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 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.publisher | Academic Press | |
dc.source | Advances in Mathematics | |
dc.subject | Keywords: K-theory; Noncommutative localisation; Triangulated category | |
dc.title | Noncommutative localisation in algebraic K-theory II | |
dc.type | Journal article | |
local.description.notes | Imported from ARIES | |
local.identifier.citationvolume | 213 | |
dc.date.issued | 2007 | |
local.identifier.absfor | 010103 - Category Theory, K Theory, Homological Algebra | |
local.identifier.ariespublication | u3169606xPUB85 | |
local.type.status | Published Version | |
local.contributor.affiliation | Neeman, Amnon, College of Physical and Mathematical Sciences, ANU | |
local.description.embargo | 2037-12-31 | |
local.bibliographicCitation.issue | 2 | |
local.bibliographicCitation.startpage | 785 | |
local.bibliographicCitation.lastpage | 819 | |
local.identifier.doi | 10.1016/j.aim.2007.01.010 | |
dc.date.updated | 2015-12-08T08:24:05Z | |
local.identifier.scopusID | 2-s2.0-34248338366 | |
Collections | ANU Research Publications |
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