Before there was K-theory, there was Bott periodicity. It was a result of the analysis of homogeneous spaces, their loop spaces, and classifying spaces of limits of Lie groups. In a parallel study of Clifford algebras, we see a periodicity which has much to do with Bott periodicity. This is pointed out in this chapter.
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References
Atiyah, M.F., Hirzebruch, F.: Vector bundles and homogeneous spaces. Proc.Symp. Pure Math. Amer. Math. Soc.3.7-38 (1961)
Husemöller, D.: Fibre Bundles, 3rd ed. Springer-Verlag New York, (1994)
Milnor, J.: Morse theory. Ann. of Math. Studies 51 (1963)
Milnor, J.: Lectures on the h-Cobordism Theorem. Princeton University Press, Princeton, NJ (1965)
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Husemöller, D., Joachim, M., Jurčo, B., Schottenloher, M. (2008). Bott Periodicity Maps and Clifford Algebras. In: Basic Bundle Theory and K-Cohomology Invariants. Lecture Notes in Physics, vol 726. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-74956-1_16
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