Torsion in $K$-theory and the Bott maps
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- by Albert T. Lundell PDF
- Trans. Amer. Math. Soc. 183 (1973), 59-85 Request permission
Abstract:
The nonstable Bott maps $b{’_n}:U(n) \to {\Omega ^2}U(n + 1)$ for the unitary group are studied as to their behavior under iteration. They are then used to define and compute the coefficients of a spectrum. The corresponding cohomology theory is developed and compared with reduced complex K-theory. In this context the Chern character is induced by a map of spectra. The complex e-invariant appears as a coboundary in the long exact sequence of a cofibration.References
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Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 183 (1973), 59-85
- MSC: Primary 55F45
- DOI: https://doi.org/10.1090/S0002-9947-1973-0326730-6
- MathSciNet review: 0326730