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Actions of $K(\pi ,n)$ spaces on $K$-theory and uniqueness of twisted $K$-theory

Antieau, Benjamin ; Gepner, David ; Gómez, José Manuel



Abstract

We prove the uniqueness of twisted K-theory in both the real and complex cases using the computation of the K-theories of Eilenberg-MacLane spaces due to Anderson and Hodgkin. As an application of our method, we give some vanishing results for actions of Eilenberg-MacLane spaces on K-theory spectra.


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