Amalgamated Free Products of Multi-Matrix Algebras and a Construction of Subfactors of a Free Group Factor

DOI10.2307/2375030zbMath0854.46051OpenAlexW2316226808MaRDI QIDQ4864573

Kenneth J. Dykema

Publication date: 20 February 1996

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2375030

zbMATH Keywords

subfactorsrelative commutantsamalgamationvon Neumann algebra free productAFD algebraamalgamated free product algebrasdirect sum of interpolated free group factorsmulti-matrix algebras

Mathematics Subject Classification ID

Subfactors and their classification (46L37)

Related Items (7)

Universal properties of \(L(\mathbb{F}_ \infty)\) in subfactor theory. ⋮ Free product von Neumann algebras associated to graphs, and Guionnet, Jones, Shlyakhtenko subfactors in infinite depth ⋮ Factoriality, type classification and fullness for free product von Neumann algebras ⋮ On the Guionnet-Jones-Shlyakhtenko construction for graphs ⋮ Free products of finite-dimensional and other von Neumann algebras in terms of free Araki-Woods factors ⋮ Rigid C*-tensor categories of bimodules over interpolated free group factors ⋮ C\(^*\)-tensor categories and free product bimodules

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