Actions of $K(\pi ,n)$ spaces on $K$-theory and uniqueness of twisted $K$-theory
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- by Benjamin Antieau, David Gepner and José Manuel Gómez PDF
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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.References
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Additional Information
- Benjamin Antieau
- Affiliation: Department of Mathematics, University of California, Los Angeles, 520 Portola Plaza, Los Angeles, California 90095
- Address at time of publication: Department of Mathematics, University of Washington, Seattle, Washington 98195
- MR Author ID: 924946
- Email: antieau@math.ucla.edu, benjamin.antieau@gmail.com
- David Gepner
- Affiliation: Fakultät für Mathematik, Universität Regensburg, 93040 Regensburg, Germany
- Address at time of publication: Department of Mathematics, Purdue University, 150 N. University Street, West Lafayette, Indiana 47907
- MR Author ID: 880977
- Email: djgepner@gmail.com, djgepner@gmail.com
- José Manuel Gómez
- Affiliation: Department of Mathematics, Johns Hopkins University, Baltimore, Maryland 21218
- Address at time of publication: Departmento de Matemáticas, Universidad Nacional de Colombia, Medellín, AA 3840 Colombia
- Email: jgomez@math.jhu.edu, jmgomez0@unal.edu.co
- Received by editor(s): October 13, 2011
- Received by editor(s) in revised form: August 16, 2012
- Published electronically: March 14, 2014
- Additional Notes: The first author was supported in part by the NSF under Grant RTG DMS 0838697
- © Copyright 2014 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 366 (2014), 3631-3648
- MSC (2010): Primary 19L50, 55N15
- DOI: https://doi.org/10.1090/S0002-9947-2014-05937-0
- MathSciNet review: 3192610