S. Bezuglyi, J. Kwiatkowski, “Topologies on full groups and normalizers of Cantor minimal systems”, Mat. Fiz. Anal. Geom., 2002, Volume 9, Number 3,Pages <nobr>455

This article is cited in 3 papers

Topologies on full groups and normalizers of Cantor minimal systems

S. Bezuglyi^a, J. Kwiatkowski^b

^a Mathematics Division, B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Sciences of Ukraine, 47 Lenin Ave., Kharkov, 61103, Ukraine
^b Nicolas Copernicus University, 12/18 Chopina Str., 87-100 Torun, Poland

Abstract: We show how some notions and results of measurable dynamics can be applied to the theory of Cantor minimal systems. Motivated by measurable dynamics, we study the weak and uniform topologies on full groups and their normalizers. The article develops the approach and ideas of [BK].

MSC: 37A15, 37B05

Received: 08.01.2002

Language: English