-algebra fibre bundles
Author:
Maw Ding Jean
Journal:
Trans. Amer. Math. Soc. 273 (1982), 795-801
MSC:
Primary 46L05; Secondary 46M20, 55R10
DOI:
https://doi.org/10.1090/S0002-9947-1982-0667175-4
MathSciNet review:
667175
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Abstract | References | Similar Articles | Additional Information
Abstract: It will be shown in this paper that for any -algebra fibre bundle with base space
and fibre
, a
-algebra, the Jacobson spectrum of the
-algebra of sections of the fibre bundle can be identified as a topological fibre bundle with the same base space
and fibre the Jacobson spectrum of
.
- [1] Jacques Dixmier, 𝐶*-algebras, North-Holland Publishing Co., Amsterdam-New York-Oxford, 1977. Translated from the French by Francis Jellett; North-Holland Mathematical Library, Vol. 15. MR 0458185
- [2] Bernard R. Gelbaum, Banach algebra bundles, Pacific J. Math. 28 (1969), 337–349. MR 244763
- [3] Norman Steenrod, The topology of fibre bundles, Princeton Landmarks in Mathematics, Princeton University Press, Princeton, NJ, 1999. Reprint of the 1957 edition; Princeton Paperbacks. MR 1688579
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9947-1982-0667175-4
Keywords:
-algebra,
Jacobson spectrum,
fibre bundle
Article copyright:
© Copyright 1982
American Mathematical Society