Abstract We use the theory of approximable triangulated categories to give a condition for a proper DG-category to be reflexive in the sense of Kuznetsov and Shinder. To do this we provide another description of the completion of an approximable triangulated category under a properness assumption. We apply our results to proper schemes, proper connective DG-algebras and Azumaya algebras over proper schemes. We include an appendix by Raedschelders and Stevenson showing that proper connective DG-algebras admit finite dimensional models over any field.
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Isambard Goodbody
Applied Categorical Structures
University of Glasgow
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Isambard Goodbody (Sun,) studied this question.
www.synapsesocial.com/papers/69c22975aeb5a845df0d3dfd — DOI: https://doi.org/10.1007/s10485-026-09856-0