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VOL. 55 | 2009 An analogue of Serre fibrations for $C^*$-algebra bundles
Siegfried Echterhoff, Ryszard Nest, Herve Oyono-Oyono

Editor(s) Jean-Pierre Bourguignon, Motoko Kotani, Yoshiaki Maeda, Nobuyuki Tose

Abstract

We study an analogue of Serre fibrations in the setting of $C^*$-algebra bundles. We derive in this framework a Leray–Serre type spectral sequence. We investigate a class of examples which generalise on one hand principal bundles with a $n$-torus as structural group and on the other hand non-commutative tori.

Information

Published: 1 January 2009
First available in Project Euclid: 28 November 2018

zbMATH: 1192.46067
MathSciNet: MR2463498

Digital Object Identifier: 10.2969/aspm/05510209

Subjects:
Primary: 14Dxx, 19K35, 46L55, 46L80, 46L85, 55T10