Let H=H n =C n \_R denote the Heisenberg group, and let \_ r denote the normalized Lebesgue measure on the sphere [(z, 0): |z| =r]. Let (X, B, m) be a standard Borel probability space on which H acts measurably and ergodically by measure preserving transformations, and let ?(\_ r ) denote the operat
β¦ LIBER β¦
Group structure and the pointwise ergodic theorem for connected amenable groups
β Scribed by Frederick P Greenleaf; William R Emerson
- Publisher
- Elsevier Science
- Year
- 1974
- Tongue
- English
- Weight
- 1001 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0001-8708
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97α108 proved a much stronger result, the strong independence of the automorphism group and the congruence lattice in the finite case. In this paper, we provide a full affirmative solution of the above problem. In fact, we prove much stronger results, verifying strong independence for general lattic