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Ergodic Abelian actions with homogeneous spectrum by Danilenko, Alexandre I.; Solomko, Anton V. is a scholarly article available to read on EtoBox.
What is Ergodic Abelian actions with homogeneous spectrum about?
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 $N$.
- Author
- Danilenko, Alexandre I.; Solomko, Anton V.
- Published
- 2010
- Language
- EN
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