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Maximal Abelian Subalgebras of the Hyperfinite Factor, Entropy and Ergodic Theory

✍ Scribed by S. Neshveyev; E. Størmer

Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2003
Tongue
English
Weight
200 KB
Volume
19
Category
Article
ISSN
1439-7617

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✍ Sergey Neshveyev; Erling Størmer 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 245 KB

Let T be a free ergodic measure-preserving action of an abelian group G on ðX ; mÞ: The crossed product algebra R T ¼ L 1 ðX ; mÞs G has two distinguished masas, the image C T of L 1 ðX ; mÞ and the algebra S T generated by the image of G: We conjecture that conjugacy of the singular masas S T ð1Þ a