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math.KT2008★ 2 cited
Fibrations with noncommutative fibers
Siegfried Echterhoff, Ryszard Nest, Herve Oyono-Oyono
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 spec…
math.KT2001
Gap-labelling for quasi-crystals (proving a conjecture by J. Bellissard)
Moulay-Tahar Benameur, Herve Oyono-Oyono
In the present paper, we give a proof of the gap-labelling conjecture for quasi-crystals. The main tools are the measured index theorem for laminations and a naturality of the long…