The Laplacian subalgebra of $\mathcal {L}(\mathbb {F}_N)^{\overline {\otimes }_k}$ is a strongly singular masa

DOI10.1090/S0002-9939-06-08548-0zbMath1116.46052OpenAlexW1482104358MaRDI QIDQ3420055

Teodor Stefan Bîldea

Publication date: 1 February 2007

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-06-08548-0

zbMATH Keywords

von Neumann algebrafree groupasymptotic homomorphismstrongly singular masa

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Free nonabelian groups (20E05)

Cites Work

• Singular maximal Abelian *-subalgebras in continuous von Neumann algebras
• Singularity of the radial subalgebra of \({\mathcal L}(F_ N)\) and the Pukánszky invariant
• Singularity of radial subalgebras in II\(_ 1\) factors associated with free products of groups
• Strongly singular masas in type \(\text{II}_1\) factors
• The analogues of entropy and of Fisher's information measure in free probability theory. III: The absence of Cartan subalgebras
• Sous-anneaux abéliens maximaux dans les facteurs de type fini
• Notes on Cartan subalgebras in type $\mathrm{II}_1$ factors.
• Radial functions on free groups and a decomposition of the regular representation into irreducible components.
• STRONG SINGULARITY FOR SUBALGEBRAS OF FINITE FACTORS
• The Laplacian MASA in a free group factor

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