Bilipschitz invariance of the first transverse characteristic map

• Autorzy: Michel Hilsum
• Języki publikacji: EN

Abstrakty

EN

Given a smooth S¹-foliated bundle, A. Connes has shown the existence of an additive morphism ϕ from the K-theory group of the foliation C*-algebra to the scalar field, which factorizes, via the assembly map, the Godbillon-Vey class, which is the first secondary characteristic class, of the classifying space. We prove the invariance of this map under a bilipschitz homeomorphism, extending a previous result for maps of class C¹ by H. Natsume.

Kategorie tematyczne

• 57R32: Classifying spaces for foliations; Gelfand-Fuks cohomology
• 53C12: Foliations (differential geometric aspects)
• 46L87: Noncommutative differential geometry

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2012
• Tom: 98
• Numer: 1
• Strony: 245-260

Daty

wydano

2012

Twórcy

autor

Michel Hilsum

• CNRS, Institut de Mathématiques de Jussieu, 175, rue du Chevaleret, Paris, France

Identyfikatory

DOI

10.4064/bc98-0-10