Fibrations with noncommutative fibers
K-Theory and Homology
2008-10-02 v1 Operator Algebras
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
@article{arxiv.0810.0118,
title = {Fibrations with noncommutative fibers},
author = {Siegfried Echterhoff and Ryszard Nest and Herve Oyono-Oyono},
journal= {arXiv preprint arXiv:0810.0118},
year = {2008}
}
Comments
40 pages