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Dynamical correspondences of $L^2$-Betti numbers

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Speaker: 
Bingbing Liang
Affiliation: 
SUNY at Buffalo, MPIM
Date: 
Thu, 30/03/2017 - 15:00 - 16:00
Location: 
MPIM Lecture Hall
Parent event: 
MPI-Oberseminar

We investigate dynamical analogues of the $L^2$-Betti numbers for modules over integral
of a discrete sofic group. In particular, we  use them to introduce some invariants for algebraicactions.
As an application, we give a dynamical characterization of Lueck's dimension-flatness.

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