A proof of Bott periodicity via Clifford algebras
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چکیده
The purpose of this note is to present a proof of the Bott periodicity theorem that is based on the periodicity of Clifford algebras. Such a proof was first predicted in [2], and then constructed in [8] and in [3]. Here, we give another proof along the same lines as [8], but based on a different model of K-theory. In order to simplify the notation, we only present the periodicity for KO theory. The arguments apply without difficulty to the case of complexK-theory.
منابع مشابه
Erratum Addendum to “ A new proof of the Bott periodicity theorem ” [ Topology Appl . 119 ( 2002 ) 167 – 183 ] ✩
A. Elmendorf has found an error in the approach to Lemmas 2.2 and 2.3 of “A new proof of the Bott periodicity theorem” (Topology and its Applications, 2002, 167–183). There are also errors in the definitions of the maps in Sections 4.2 and 4.5. In this paper we supply corrections to these errors. We also sketch a major simplification of the argument proving real Bott periodicity, unifying the e...
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