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We will explain a characterization of dualizable stable infinity categories in terms of approximations via compact maps. | We will explain a characterization of dualizable stable infinity categories in terms of approximations via compact maps. | ||
This has interesting consequences for phantom maps and the condensed structure on mapping spaces. | This has interesting consequences for phantom maps and the condensed structure on mapping spaces. | ||
We will show that this general theory applies to E-theory for C^{*}-Algebras and allows to interpret a variety of results | We will show that this general theory applies to E-theory for C^{*}-Algebras and allows to interpret a variety of results which classically have very analytic proofs. | ||
Latest revision as of 07:31, 24 October 2023
We will explain a characterization of dualizable stable infinity categories in terms of approximations via compact maps. This has interesting consequences for phantom maps and the condensed structure on mapping spaces. We will show that this general theory applies to E-theory for C^{*}-Algebras and allows to interpret a variety of results which classically have very analytic proofs.
