Measure space automorphisms,the normalizers of their full groups,and approximate finiteness |
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Authors: | Alain Connes Wolfgang Krieger |
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Affiliation: | 1. Université Paris VI, Paris, France;2. Institut für Angewandte Mathematik, Universität Heidelberg, Heidelberg, West Germany |
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Abstract: | We deal with the normalizer [T] of the full group [T] of a nonsingular transformation T of a Lebesgue measure space in the group of all nonsingular transformations. We solve the conjugacy problem in [T]/[T] for a measure preserving and ergodic T. Our results show that a locally finite extension of a solvable group is approximately finite. |
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