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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

Representable $ K$-theory of smooth crossed products by $ {\bf R}$ and $ {\bf Z}$


Authors: N. Christopher Phillips and Larry B. Schweitzer
Journal: Trans. Amer. Math. Soc. 344 (1994), 173-201
MSC: Primary 46L80; Secondary 19K99, 46H99, 46L87, 46M20
MathSciNet review: 1219733
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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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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1994-1219733-4
PII: S 0002-9947(1994)1219733-4
Keywords: m-convex Fréchet algebra, smooth crossed product, representable K-theory, m-tempered action
Article copyright: © Copyright 1994 American Mathematical Society