Fibrations with noncommutative fibers

Echterhoff, Siegfried; Nest, Ryszard; Oyono-Oyono, Herve

Fibrations with noncommutative fibers

Authors

Echterhoff, Siegfried

Nest, Ryszard

Oyono-Oyono, Herve

Description

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.
40 pages