Actions of K(π, n) spaces on K-theory and uniqueness of twisted K-theory

Benjamin Antieau*, David Gepner, José Manuel Gómez

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

8 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)3631-3648
Number of pages18
JournalTransactions of the American Mathematical Society
Volume366
Issue number7
DOIs
StatePublished - 2014
Externally publishedYes

Keywords

  • Topological brauer groups
  • Twisted K-theory
  • Units of ring spectra

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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