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Periodic equivariant realK-theories have rational Tate theory

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Summary

We study a generalized equivariantK-theory introduced by M. Karoubi. We prove, that it is anRO (G, U)-graded cohomology-theory and that the associated Tate spectrum is rational whenG is finite. This implies that for finite groups, the Atiyah-Segal Real equivariantK-theories have rational Tate theory.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, Institute for Electronic Systems, Aalborg University, Fredrik Bajers Vej 7E, DK-9220, Aalborg Ø, Denmark

    Lisbeth Fajstrup

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  1. Lisbeth Fajstrup
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This article was processed by the author using the LATEX style filecljour1 from Springer-Verlag

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Fajstrup, L. Periodic equivariant realK-theories have rational Tate theory. Manuscripta Math 91, 211–221 (1996). https://doi.org/10.1007/BF02567950

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  • DOI: https://doi.org/10.1007/BF02567950

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