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.
Tópico:
Homotopy and Cohomology in Algebraic Topology
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9
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FuenteTransactions of the American Mathematical Society