Measure space automorphisms, the normalizers of their full groups, and approximate finiteness
We deal with the normalizer N[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 N[T]/[T] for a measure preserving and ergodic T. Our results show that a locally finite extension of...
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| Main Authors: | , |
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| Format: | Article (Journal) |
| Language: | English |
| Published: |
30 June 2004
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| In: |
Journal of functional analysis
Year: 1977, Volume: 24, Issue: 4, Pages: 336-352 |
| ISSN: | 1096-0783 |
| DOI: | 10.1016/0022-1236(77)90062-3 |
| Online Access: | Resolving-System, kostenfrei, Volltext: http://dx.doi.org/10.1016/0022-1236(77)90062-3 Verlag, kostenfrei, Volltext: http://www.sciencedirect.com/science/article/pii/0022123677900623 
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| Author Notes: | Alain Connes and Wolfgang Krieger |
| Summary: | We deal with the normalizer N[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 N[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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| Item Description: | Available online 30 June 2004 Gesehen am 10.08.2018 |
| Physical Description: | Online Resource |
| ISSN: | 1096-0783 |
| DOI: | 10.1016/0022-1236(77)90062-3 |