Non-abelian extensions of minimal rotations

Ulrich Haböck, and Vyacheslav Kulagin. "Non-abelian extensions of minimal rotations." Colloquium Mathematicae 117.1 (2009): 1-17. <http://eudml.org/doc/284322>.

@article{UlrichHaböck2009,
abstract = {We consider continuous extensions of minimal rotations on a locally connected compact group X by cocycles taking values in locally compact Lie groups and prove regularity (i.e. the existence of orbit closures which project onto the whole basis X) in certain special situations beyond the nilpotent case. We further discuss an open question on cocycles acting on homogeneous spaces which seems to be the missing key for a general regularity theorem.},
author = {Ulrich Haböck, Vyacheslav Kulagin},
journal = {Colloquium Mathematicae},
language = {eng},
number = {1},
pages = {1-17},
title = {Non-abelian extensions of minimal rotations},
url = {http://eudml.org/doc/284322},
volume = {117},
year = {2009},
}

TY - JOUR
AU - Ulrich Haböck
AU - Vyacheslav Kulagin
TI - Non-abelian extensions of minimal rotations
JO - Colloquium Mathematicae
PY - 2009
VL - 117
IS - 1
SP - 1
EP - 17
AB - We consider continuous extensions of minimal rotations on a locally connected compact group X by cocycles taking values in locally compact Lie groups and prove regularity (i.e. the existence of orbit closures which project onto the whole basis X) in certain special situations beyond the nilpotent case. We further discuss an open question on cocycles acting on homogeneous spaces which seems to be the missing key for a general regularity theorem.
LA - eng
UR - http://eudml.org/doc/284322
ER -