JEDNOSTKA NAUKOWA KATEGORII A+

Non-abelian extensions of minimal rotations

Tom 117 / 2009

Ulrich Haböck, Vyacheslav Kulagin Colloquium Mathematicum 117 (2009), 1-17 MSC: Primary 37B05, 37B20. DOI: 10.4064/cm117-1-1

Streszczenie

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.

Autorzy

  • Ulrich HaböckInstitute of Discrete Mathematics
    and Geometry
    TU Vienna
    Wiedner Hauptstrasse 8
    A-1040 Wien, Austria
    e-mail
  • Vyacheslav KulaginInstitute for Low Temperature Physics
    and Engineering
    47 Lenin Ave.
    Kharkov 61103, Ukraine
    e-mail

Przeszukaj wydawnictwa IMPAN

Zbyt krótkie zapytanie. Wpisz co najmniej 4 znaki.

Przepisz kod z obrazka

Odśwież obrazek

Odśwież obrazek