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The Toeplitz operator proof of noncommutative Bott periodicity

Published online by Cambridge University Press:  09 April 2009

N. Christopher Phillips
Affiliation:
University of GeorgiaAthens, GA 30602, USA
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Abstract

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We adapt the Toeplitz operator proof of Bott periodicity to give a short direct proof of Bott periodicity for the representable K-theory of σ-C*-algebras. We further show how the use of this proof and the right definitions simplifies the derivation of the basic properties of representable K-theory.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1992

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