An analogue of Serre fibrations for C*-algebra bundles

Siegfried Echteroff (1) , Ryszard Nest (2) , Hervé Oyono-Oyono (3)

1 Mathematishes Institut
2 Department of Mathematical Sciences [Copenhagen]
3 LMBP - Laboratoire de Mathématiques Blaise Pascal

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.

Mots clés: Non-commutative fibrations; K-theory; Non-Commutative tori; Leray-Serre spectral sequence

Domaines: Algèbres d'opérateurs [math.OA]; K-théorie et homologie [math.KT]

Siegfried Echteroff, Ryszard Nest, Hervé Oyono-Oyono. An analogue of Serre fibrations for C*-algebra bundles. Noncommutativity, Nov 2006, Bures-sur-Yvette, France. pp.209-221. ⟨hal-00483074⟩