The Toeplitz operator proof of noncommutative Bott periodicity

Journal of the Australian Mathematical Society

N. Christopher Phillips¹ 

关键词: primary 19 K 99;    46 K 99;    46 L 80;   

DOI  :  10.1017/S1446788700035813

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

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.

【 授权许可】

Unknown