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arXiv · 1612.03287

Atiyah-Jänich theorem for $σ$-C*-algebras

Kamran Sharifi
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Abstract

K-theory for $ σ$-C*-algebras (countable inverse limits of C*-algebras) has been investigated by N. C. Phillips [{\it K-Theory} {\bf 3} (1989), 441--478]. We use his representable K-theory to show that the space of Fredholm modular operators with coefficients in an arbitrary unital $ σ$-C*-algebra $A$, represents the functor $X \mapsto {\rm RK}_{0}(C(X, A))$ from the category of countably compactly generated spaces to the category of abelian groups.

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Kamran Sharifi. 2016-12-10. Atiyah-Jänich theorem for $σ$-C*-algebras. https://arxiv.org/abs/1612.03287

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