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arXiv · 1901.06806

On the topological K-theory of twisted equivariant perfect complexes

Michael K. Brown·Tasos Moulinos
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Abstract

We construct a comparison map from the topological K-theory of the dg-category of twisted perfect complexes on certain global quotient stacks to twisted equivariant K-theory, generalizing constructions of Halpern-Leistner-Pomerleano and Moulinos. We prove that this map is an equivalence if a version of the projective bundle theorem holds for twisted equivariant K-theory. Along the way, we give a new proof of a theorem of Moulinos that the comparison map is an equivalence in the non-equivariant case.

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Michael K. Brown, Tasos Moulinos. 2019-01-21. On the topological K-theory of twisted equivariant perfect complexes. https://arxiv.org/abs/1901.06806

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