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2009 A curious example of triangulated-equivalent model categories which are not Quillen equivalent
Daniel Dugger, Brooke Shipley
Algebr. Geom. Topol. 9(1): 135-166 (2009). DOI: 10.2140/agt.2009.9.135

Abstract

The paper gives a new proof that the model categories of stable modules for the rings p2 and p[ϵ](ϵ2) are not Quillen equivalent. The proof uses homotopy endomorphism ring spectra. Our considerations lead to an example of two differential graded algebras which are derived equivalent but whose associated model categories of modules are not Quillen equivalent. As a bonus, we also obtain derived equivalent dgas with non-isomorphic K–theories.

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Daniel Dugger. Brooke Shipley. "A curious example of triangulated-equivalent model categories which are not Quillen equivalent." Algebr. Geom. Topol. 9 (1) 135 - 166, 2009. https://doi.org/10.2140/agt.2009.9.135

Information

Received: 12 June 2008; Revised: 17 December 2008; Accepted: 16 December 2008; Published: 2009
First available in Project Euclid: 20 December 2017

zbMATH: 1159.18305
MathSciNet: MR2482071
Digital Object Identifier: 10.2140/agt.2009.9.135

Subjects:
Primary: 18E30, 18F25, 55U35

Rights: Copyright © 2009 Mathematical Sciences Publishers

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Vol.9 • No. 1 • 2009
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