Non-abelian extensions of minimal rotations

• Autorzy: Ulrich Haböck , Vyacheslav Kulagin
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 37B20: Notions of recurrence
• 37B05: Transformations and group actions with special properties (minimality, distality, proximality, etc.)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Colloquium Mathematicum
• Rocznik: 2009
• Tom: 117
• Numer: 1
• Strony: 1-17

Daty

wydano

2009

Twórcy

autor

Ulrich Haböck

• Institute of Discrete Mathematics and Geometry, TU Vienna, Wiedner Hauptstrasse 8, A-1040 Wien, Austria

autor

Vyacheslav Kulagin

• Institute for Low Temperature Physics and Engineering, 47 Lenin Ave., Kharkov 61103, Ukraine

Identyfikatory

DOI

10.4064/cm117-1-1