Adelic models of tensor-triangulated categories

Scott Balchin; J.P.C. Greenlees

doi:10.1016/j.aim.2020.107339

Adelic models of tensor-triangulated categories

Scott Balchin, J.P.C. Greenlees

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Abstract

We show that a well behaved Noetherian, finite dimensional, stable, monoidal model category has a model built from categories of modules over completed rings in an adelic fashion. Special cases include abelian groups (the Hasse square), chromatic homotopy theory (a module theoretic chromatic fracture square), and rational torus-equivariant homotopy theory (first step to the model of [30]

Original language	English
Article number	107339
Journal	Advances in Mathematics
Volume	375
Early online date	14 Aug 2020
DOIs	https://doi.org/10.1016/j.aim.2020.107339
Publication status	Published - Dec 2020
Externally published	Yes

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Adelic models of tensor-triangulated categories
Copyright 2020 Elsevier. This manuscript is distributed under a Creative Commons Attribution-NonCommercial-NoDerivs License (https://creativecommons.org/licenses/by-nc-nd/4.0/), which permits distribution and reproduction for non-commercial purposes, provided the author and source are cited.
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Adelic models of tensor-triangulated categories

Abstract

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