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arxiv: 1106.5099 · v2 · submitted 2011-06-25 · 🧮 math.KT · math.AT

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Actions of Eilenberg-MacLane spaces on K-theory spectra and uniqueness of twisted K-theory

Benjamin Antieau , David Gepner , Jos\'e Manuel G\'omez
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classification 🧮 math.KT math.AT
keywords k-theoryeilenberg-maclanespacesactionsspectratwisteduniquenessanderson
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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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