JournalsjncgVol. 3, No. 3pp. 377–417

Fibrations with noncommutative fibers

  • Siegfried Echterhoff

    University of Münster, Germany
  • Ryszard Nest

    University of Copenhagen, Denmark
  • Hervé Oyono-Oyono

    Université Blaise Pascal, Clermont-Ferrand
Fibrations with noncommutative fibers cover
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Abstract

We study an analogue of fibrations of topological spaces with the homotopy lifting property in the setting of C*-algebra bundles. We then derive an analogue of the Leray–Serre spectral sequence to compute the K-theory of the fibration in terms of the cohomology of the base and the K-theory of the fibres. We present many examples which show that fibrations with noncommutative fibres appear in abundance in nature.

Cite this article

Siegfried Echterhoff, Ryszard Nest, Hervé Oyono-Oyono, Fibrations with noncommutative fibers. J. Noncommut. Geom. 3 (2009), no. 3, pp. 377–417

DOI 10.4171/JNCG/41