II$_1$ factors with exotic central sequence algebras

Adrian Ioana; Pieter Spaas

arxiv: 1904.06816 · v1 · pith:WQ2CMAGMnew · submitted 2019-04-15 · 🧮 math.OA · math.FA

II₁ factors with exotic central sequence algebras

Adrian Ioana , Pieter Spaas This is my paper

classification 🧮 math.OA math.FA

keywords sequencealgebracentralfactorsalgebrasassociatedciteclass

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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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II₁ factors with exotic central sequence algebras

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