G. Ya. Grabarnik, A. A. Katz, L. A. Shwartz, “On non-commutative ergodic type theorems for free finitely generated semigroups”, Vladikavkaz. Mat. Zh., 2007, Volume 9, Number 1,Pages <nobr>38

This article is cited in 1 paper

On non-commutative ergodic type theorems for free finitely generated semigroups

G. Ya. Grabarnik^a, A. A. Katz^b, L. A. Shwartz^c

^a IBM T.J. Watson Research Center, Hawthorne, NY, USA
^b Department of Mathematics and Computer Science, St. John's University, Staten Island, NY, USA
^c Department of Mathematics, Applied Mathematics and Astronomy, University of South Africa, Pretoria, Republic of South Africa

Abstract: In the paper the authors generalize Bufetov's Ergodic Type Theorems to the case of the actions of free finitely generated semigroups on von Neumann algebras.

Key words: von Neumann algebras, non-commutative ergodic type theorems, actions of free semigroups.

UDC: 517.98

MSC: 46L51, 46L53, 46L54

Received: 17.03.2005

Language: English