Barnes, David, Roitzheim, Constanze (2014) Stable left and right Bousfield localisations. Glasgow Mathematical Journal, 56 (1). pp. 1342. ISSN 00170895. (doi:10.1017/S0017089512000882)
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Official URL http://dx.doi.org/10.1017/S0017089512000882 
Abstract
We study left and right Bousfield localisations of stable model categories which preserve stability. This follows the lead of the two key examples: localisations of spectra with respect to a homology theory and Atorsion modules over a ring R with A a perfect Ralgebra.We exploit stability to see that the resulting model structures are technically far better behaved than the general case.We can give explicit sets of generating cofibrations, show that these localisations preserve properness and give a complete characterisation of when they preserve monoidal structures. We apply these results to obtain convenient assumptions under which a stable model category is spectral. We then use Morita theory to gain an insight into the nature of right localisation and its homotopy category. We finish with a correspondence between left and right localisation.
Item Type:  Article 

DOI/Identification number:  10.1017/S0017089512000882 
Projects:  [UNSPECIFIED] Finiteness structures in chromatic derived categories 
Uncontrolled keywords:  Model categories, Bousfield localisation, stable homotopy theory 
Subjects:  Q Science > QA Mathematics (inc Computing science) > QA440 Geometry > QA611 Topology > QA612 Algebraic topology 
Divisions:  Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Pure Mathematics 
Depositing User:  Constanze Roitzheim 
Date Deposited:  05 Dec 2013 11:46 UTC 
Last Modified:  29 May 2019 10:01 UTC 
Resource URI:  https://kar.kent.ac.uk/id/eprint/33272 (The current URI for this page, for reference purposes) 
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