Representable 𝐾-theory of smooth crossed products by 𝑅 and 𝑍

Phillips, N. Christopher; Schweitzer, Larry B.

doi:10.1090/S0002-9947-1994-1219733-4

Representable $K$-theory of smooth crossed products by $\textbf {R}$ and $\textbf {Z}$
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by N. Christopher Phillips and Larry B. Schweitzer PDF

Trans. Amer. Math. Soc. 344 (1994), 173-201 Request permission

Abstract:

We show that the Thorn isomorphism and the Pimsner-Voiculescu exact sequence both hold for smooth crossed products of Fréchet algebras by $\mathbb {R}$ and $\mathbb {Z}$ respectively. We also obtain the same results for ${L^1}$-crossed products of Banach algebras by $\mathbb {R}$ and $\mathbb {Z}$.

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