$C^{\ast }$-algebra fibre bundles
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- by Maw Ding Jean PDF
- Trans. Amer. Math. Soc. 273 (1982), 795-801 Request permission
Abstract:
It will be shown in this paper that for any ${C^\ast }$-algebra fibre bundle with base space $X$ and fibre $A$, a ${C^\ast }$-algebra, the Jacobson spectrum of the ${C^\ast }$-algebra of sections of the fibre bundle can be identified as a topological fibre bundle with the same base space $X$ and fibre the Jacobson spectrum of $A$.References
- Jacques Dixmier, $C^*$-algebras, North-Holland Mathematical Library, Vol. 15, North-Holland Publishing Co., Amsterdam-New York-Oxford, 1977. Translated from the French by Francis Jellett. MR 0458185
- Bernard R. Gelbaum, Banach algebra bundles, Pacific J. Math. 28 (1969), 337–349. MR 244763
- 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
Additional Information
- © Copyright 1982 American Mathematical Society
- 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