Asymptotic freeness in tracial ultraproducts

We prove novel asymptotic freeness results in tracial ultraproduct von Neumann algebras. In particular, we show that whenever $M = M_1 \ast M_2$ is a tracial free product von Neumann algebra and $u_1 \in \mathscr U(M_1)$ , $u_2 \in \mathscr U(M_2)$ are Haar unitaries, the relativ...

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Bibliographic Details
Main Authors: Cyril Houdayer, Adrian Ioana
Format: Article
Language:English
Published: Cambridge University Press 2024-01-01
Series:Forum of Mathematics, Sigma
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050509424000938/type/journal_article