Monoidal properties of Franke’s exotic equivalence

Nikandros, Nikitas; Roitzheim, Constanze

doi:10.2140/agt.2024.24.5161

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Monoidal properties of Franke's exotic equivalence

Nikitas Nikandros and Constanze Roitzheim

Algebraic & Geometric Topology 24 (2024) 5161–5210

DOI: 10.2140/agt.2024.24.5161

Abstract

Franke’s reconstruction functor $ℛ$ is known to provide examples of triangulated equivalences between homotopy categories of stable model categories, which are exotic in the sense that the underlying model categories are not Quillen equivalent. We show that, while not being a tensor-triangulated functor in general, $ℛ$ is compatible with monoidal products.

Keywords

model categories, stable homotopy theory

Mathematical Subject Classification

Primary: 55P42

Secondary: 18N55

References

Publication

Received: 31 January 2023

Revised: 28 November 2023

Accepted: 3 January 2024

Published: 27 December 2024

Authors

Nikitas Nikandros
School of Mathematics, Statistics and Actuarial Science University of Kent Canterbury United Kingdom

Constanze Roitzheim
School of Mathematics, Statistics and Actuarial Science University of Kent Canterbury United Kingdom

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Volume 24, issue 9 (2024)