Geodesic
On the topological $K$-theory of twisted equivariant perfect complexes
Homology, homotopy, and applications, Tome 25 (2023) no. 1, pp. 173-187.

Voir la notice de l'article provenant de la source International Press of Boston

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 [HLP15] and Moulinos [Mou19]. 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.
DOI : 10.4310/HHA.2023.v25.n1.a9
Classification : 18E30, 19L47, 19L50
Keywords: dg-category, topological $K$-theory, twisted equivariant $K$-theory 
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Michael K. Brown; Tasos Moulinos. On the topological $K$-theory of twisted equivariant perfect complexes. Homology, homotopy, and applications, Tome 25 (2023) no. 1, pp. 173-187. doi : 10.4310/HHA.2023.v25.n1.a9. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2023.v25.n1.a9/

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