Ergodic Abelian actions with homogeneous spectrum

Details Ergodic Abelian actions with homogeneous spectrum Ergodic Abelian actions with homogeneous spectrum

2010-01-13

arxiv.org/abs/1001.2259v1

Mathematics

Dynamical Systems

Scientific paper

It is shown that for each $N>0$ and for a wide class of Abelian non-compact
locally compact second countable groups $G$ including all infinite countable
discrete ones and $\Bbb R^{d_1}\times\Bbb Z^{d_2}$ with $d_1,d_2\ge 0$, there
exists a weakly mixing probability preserving $G$-action with a homogeneous
spectrum of multiplicity $N$.

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