Bilipschitz invariance of the first transverse characteristic map

Michel 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 -