Commuting-Square Subfactors and Central Sequences

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dc.creatorBurstein, Richard
dc.date2008-08-19
dc.date.accessioned2026-07-07T09:57:17Z
dc.date.available2026-07-07T09:57:17Z
dc.descriptionLet $M_0 \subset M_1$ be a finite-index infinite-depth hyperfinite $II_1$ subfactor and $ω$ a free ultrafilter of the natural numbers. We show that if this subfactor is constructed from a commuting square then the central sequence inclusion $M_0^ω \cap M_1' \subset (M_0)_ω$ has infinite Pimnser-Popa index. We will also demonstrate this result for certain infinite-depth hyperfinite subfactors coming from groups.
dc.description18 pages
dc.identifierhttps://arxiv.org/abs/0808.2487
dc.identifierhttp://arxiv.org/abs/0808.2487
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/167288
dc.subjectOperator Algebras
dc.subject46L37
dc.titleCommuting-Square Subfactors and Central Sequences
dc.typetext

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