A. A. Rakhimov, “Action of groups on real factors of type $\mathrm{III}_\lambda$, $\lambda\ne1$”, Zap. Nauchn. Sem. POMI, 2004, Volume 315,Pages 132

Action of groups on real factors of type $\mathrm{III}_\lambda$, $\lambda\ne1$

A. A. Rakhimov^ab

^a National University of Uzbekistan named after M. Ulugbek
^b Karadeniz Technical University, Department of Mathematics

Abstract: Actions of groups on pure infinite real factors are considered. Actions of discrete amenable group on an injective real factor of type $\mathrm{III}_\lambda$ ($\lambda\ne1$) are classified up to cocycle conjugacy.

UDC: 517.98

Received: 20.11.2004