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math.GR2014
Quasi-state Rigidity for Finite-dimensional Lie Algebras
Michael Björklund, Tobias Hartnick
We say that a Lie algebra $\gfr$ is quasi-state rigid if every Ad-invariant continuous Lie quasi-state on it is the directional derivative of a homogeneous quasimorphism. Extending…
math.DS2014
Ergodic Theorems for coset spaces
Michael Björklund, Alexander Fish
We study in this paper the validity of the mean ergodic theorem along \emph{left} Følner sequences in a countable amenable group . Although the \emph{weak} ergodic theorem alway…