Geodesic
Spectral and mixing properties of actions of amenable groups
Avni, Nir1
1Department of Mathematics, Hebrew University of Jerusalem, Israel
Electronic research announcements of the American Mathematical Society, Tome 11 (2005), pp. 57-63

Voir la notice de l'article provenant de la source American Mathematical Society

We generalize two theorems about K-automorphisms from $\mathbb {Z}$ to all amenable groups with good entropy theory (this class includes all unimodular amenable groups which are not an increasing union of compact subgroups). The first theorem is that such actions are uniformly mixing; the second is that their spectrum is Lebesgue with countable multiplicity. For the proof we will develop an entropy theory for discrete amenable equivalence relations.
DOI : 10.1090/S1079-6762-05-00147-2

Avni, Nir  1

1 Department of Mathematics, Hebrew University of Jerusalem, Israel 
Avni, Nir. Spectral and mixing properties of actions of amenable groups. Electronic research announcements of the American Mathematical Society, Tome 11 (2005), pp. 57-63. doi: 10.1090/S1079-6762-05-00147-2
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