Restricted Non-Commutative Bernoulli Shifts

✍ Scribed by Uwe Quasthoff

• Publisher: John Wiley and Sons
• Year: 1990
• Tongue: English
• Weight: 540 KB
• Volume: 145
• Category: Article
• ISSN: 0025-584X
• DOI: 10.1002/mana.19901450118

✦ Synopsis

Constructing non-commutative BERNOULLI shifts one starts with a measure theoretic BERNOULLI shift and an equivalence relation on the measure space. There is a doubly infinite increasing sequence of memure preserving ergodic equivalenoe relations giving an increasing sequence of pairwise isomorphic VON NEUMANN algebras invariant under the BERNOULLI shift automorphism. We consider the index of JONES for those subalgebras and give an explicit example of conjugate non-commutative BERNOULLI shitts.