This is a reminder for the upcoming talk on Thursday 27 October.
https://sites.google.com/math.iitb.ac.in/geometric-analysis/home

Speaker: Panchugopal Bikram  (NISER-Bhubaneswar)

Time: October 27, Thursday, 5 pm (Indian Standard Time)

Title:  On the non-commutative Neveu decomposition and stochastic ergodic
theorems

Abstract: In this talk we discuss the non-commutative analogue of Neveu
decomposition for actions of locally compact amenable groups on finite von
Neumann algebras. In addition, we assume $G = \Z_+$ or $G$ is a locally
compact group of polynomial growth with a symmetric compact generating set
$V$, then for a state preserving action $\alpha$ of $G$ on a finite von
Neumann algebra $M$, discuss the convergence in bilateral almost uniformly
of the ergodic averages associated with the predual action on $M_{*}$
corresponding to the F\o lner sequence $\{K_n\}_{n \in \N}$ (where $K_n =
\{ 0, 1, \ldots n-1 \}$ for $G= \Z_+$ and $K_n = V^n$ otherwise) . At the
end, using these results, we establish the stochastic ergodic theorem.


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