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II1 FACTORS WITH EXOTIC CENTRAL SEQUENCE ALGEBRAS
Published online by Cambridge University Press: 19 December 2019
Abstract
We provide a class of separable II1 factors $M$ whose central sequence algebra is not the ‘tail’ algebra associated with any decreasing sequence of von Neumann subalgebras of $M$. This settles a question of McDuff [On residual sequences in a II1 factor, J. Lond. Math. Soc. (2) (1971), 273–280].
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- Research Article
- Information
- Journal of the Institute of Mathematics of Jussieu , Volume 20 , Issue 5 , September 2021 , pp. 1671 - 1696
- Copyright
- © Cambridge University Press 2019
Footnotes
The authors were supported in part by NSF Career Grant DMS #1253402.
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