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# Journal of Operator Theory

Volume 53, Issue 2, 2005 Spring  pp. 331-350.

A few remarks in non-commutative ergodic theory

Summary:  Individual ergodic theorems for free group actions and Besico\-vitch weighted ergodic averages are proved in the context of the bilateral almost uniform convergence in the $L^1$-space over a semifinite von Neumann algebra. Some properties of the non-commutative counterparts of the pointwise convergence and the convergence in measure are discussed.