II$_1$ factors with exotic central sequence algebras

Adrian Ioana; Pieter Spaas

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arXiv · 1904.06816

II$_1$ factors with exotic central sequence algebras

Adrian Ioana·Pieter Spaas

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Abstract

We provide a class of separable II$_1$ factors $M$ whose central sequence algebra is not the "tail" algebra associated to any decreasing sequence of von Neumann subalgebras of $M$. This settles a question of McDuff \cite{Mc69d}.

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Adrian Ioana, Pieter Spaas. 2019-04-15. II$_1$ factors with exotic central sequence algebras. https://arxiv.org/abs/1904.06816

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