# Bilipschitz invariance of the first transverse characteristic map

Banach Center Publications (2012)

- Volume: 98, Issue: 1, page 245-260
- ISSN: 0137-6934

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topMichel Hilsum. "Bilipschitz invariance of the first transverse characteristic map." Banach Center Publications 98.1 (2012): 245-260. <http://eudml.org/doc/282466>.

@article{MichelHilsum2012,

abstract = {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.},

author = {Michel Hilsum},

journal = {Banach Center Publications},

keywords = {-theory; foliations; operator algebras; cyclic cohomology; secondary characteristic classes},

language = {eng},

number = {1},

pages = {245-260},

title = {Bilipschitz invariance of the first transverse characteristic map},

url = {http://eudml.org/doc/282466},

volume = {98},

year = {2012},

}

TY - JOUR

AU - Michel Hilsum

TI - Bilipschitz invariance of the first transverse characteristic map

JO - Banach Center Publications

PY - 2012

VL - 98

IS - 1

SP - 245

EP - 260

AB - 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.

LA - eng

KW - -theory; foliations; operator algebras; cyclic cohomology; secondary characteristic classes

UR - http://eudml.org/doc/282466

ER -

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