Geodesic
Isometric extensions, 2-cocycles and ergodicity of skew products
Studia Mathematica, Tome 137 (1999) no. 2, pp. 123-142 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

Voir la notice de l'article

We establish existence and uniqueness of a canonical form for isometric extensions of an ergodic non-singular transformation T. This is applied to describe the structure of commutors of the isometric extensions. Moreover, for a compact group G, we construct a G-valued T-cocycle α which generates the ergodic skew product extension $T_α$ and admits a prescribed subgroup in the centralizer of $T_α$.
DOI : 10.4064/sm-137-2-123-142
Keywords: ergodic transformation, cocycle, isometric extension 
@article{10_4064_sm_137_2_123_142,
     author = {Alexandre I. Danilenko and  },
     title = {Isometric extensions, 2-cocycles and ergodicity of skew products},
     journal = {Studia Mathematica},
     pages = {123--142},
     year = {1999},
     volume = {137},
     number = {2},
     doi = {10.4064/sm-137-2-123-142},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.4064/sm-137-2-123-142/}
}
TY  - JOUR
AU  - Alexandre I. Danilenko
AU  -  
TI  - Isometric extensions, 2-cocycles and ergodicity of skew products
JO  - Studia Mathematica
PY  - 1999
SP  - 123
EP  - 142
VL  - 137
IS  - 2
UR  - http://geodesic.mathdoc.fr/articles/10.4064/sm-137-2-123-142/
DO  - 10.4064/sm-137-2-123-142
LA  - en
ID  - 10_4064_sm_137_2_123_142
ER  - 
%0 Journal Article
%A Alexandre I. Danilenko
%A  
%T Isometric extensions, 2-cocycles and ergodicity of skew products
%J Studia Mathematica
%D 1999
%P 123-142
%V 137
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/sm-137-2-123-142/
%R 10.4064/sm-137-2-123-142
%G en
%F 10_4064_sm_137_2_123_142
Alexandre I. Danilenko;  . Isometric extensions, 2-cocycles and ergodicity of skew products. Studia Mathematica, Tome 137 (1999) no. 2, pp. 123-142. doi: 10.4064/sm-137-2-123-142

Cité par Sources :