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arXiv · 1001.2259

Ergodic Abelian actions with homogeneous spectrum

Alexandre I. Danilenko·Anton V. Solomko
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Abstract

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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Alexandre I. Danilenko, Anton V. Solomko. 2010-01-13. Ergodic Abelian actions with homogeneous spectrum. https://arxiv.org/abs/1001.2259

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