Year: 2025
Type: preprint
Abstract: The stable category of modules over the algebra of a finite group with coefficients in a field is a compactly generated tensor triangulated category, that has been studied extensively in representation theory. In this paper, we provide a plethora of infinite groups G, for which the category of kG-modules (where k is a commutative coherent ring of finite global dimension) admits a monoidal model structure, in the sense of Hovey, whose associated homotopy category is a compactly generated tensor triangulated category. To that end, we use a technique recently introduced by the authors, which is based on Kropholler's operation LH and the second author's operation Φ.
Source: arXiv (Cornell University)
Authors: Emmanouil, Ioannis, Talelli, Olympia
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7087439355
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