Activities This Week
Jerusalem - Be'er Sheva Algebraic Geometry Seminar
TBA
Mar 17, 15:00—16:30, 2021,
BGU Probability and Ergodic Theory (PET) seminar
A multiplicative ergodic theorem for von Neumann algebra valued cocycles Online
Mar 18, 11:10—12:00, 2021, Online
Speaker
Yuqing Frank Lin (Ben-Gurion University)
Abstract
Oseledets’ multiplicative ergodic theorem (MET) is an important tool in smooth ergodic theory. It may be viewed as a generalization of Birkhoff’s pointwise ergodic theorem where numbers are replaced by matrices and arithmetic means are replaced by geometric means. Starting from Ruelle in 1982, many infinite-dimensional generalizations of the MET have been produced; however, these results assume quasi-compactness conditions and so do not deal with continuous spectrum. In a different direction Karlsson-Margulis obtained a geometric generalization of the MET, which we apply in our work to obtain an MET with operators in von Neumann algebras with semi-finite trace. We do not assume any compactness conditions on the operators. Joint work with Lewis Bowen and Ben Hayes.