On spectral multiplicities {2, 4,..., 2^n} for totally ergodic Z^2-actions
Dynamical Systems
2012-12-21 v1
Abstract
For totally ergodic Z^2-actions a collection of weak limits provide the set {2,4, ..., 2 ^ n} of spectral multiplicities for their tensor product. Our conditions allow to obtain a similar result for mixing actions via some limit procedure.
Keywords
Cite
@article{arxiv.1212.5135,
title = {On spectral multiplicities {2, 4,..., 2^n} for totally ergodic Z^2-actions},
author = {R. A. Konev and V. V. Ryzhikov},
journal= {arXiv preprint arXiv:1212.5135},
year = {2012}
}