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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Projective modules as fiber bundles
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by E. Graham Evans PDF
Proc. Amer. Math. Soc. 27 (1971), 623-626 Request permission

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.
References
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Additional Information
  • © Copyright 1971 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 27 (1971), 623-626
  • MSC: Primary 13.90; Secondary 57.00
  • DOI: https://doi.org/10.1090/S0002-9939-1971-0269642-2
  • MathSciNet review: 0269642