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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Projective modules as fiber bundles


Author: E. Graham Evans
Journal: Proc. Amer. Math. Soc. 27 (1971), 623-626
MSC: Primary 13.90; Secondary 57.00
MathSciNet review: 0269642
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Abstract: Projective modules over real affine rings, $ R$, with compact real points, $ X$, can be considered as fiber bundles over $ X$ by tensoring with the real valued continuous functions on $ X$. This induces a map $ f:{K_0}(R) \to {K^0}(X)$, In this article the kernel of $ f$ is determined and an example with nonzero kernel is given.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1971-0269642-2
PII: S 0002-9939(1971)0269642-2
Keywords: Projective modules, fiber bundles, topological ring, real affine rings, norms
Article copyright: © Copyright 1971 American Mathematical Society