Semisimplicity and global dimension of a finite von Neumann algebra

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dc.creatorVas, Lia
dc.date2007-02-18
dc.date2007-10-30
dc.date.accessioned2026-07-07T08:39:20Z
dc.date.available2026-07-07T08:39:20Z
dc.descriptionWe prove that a finite von Neumann algebra ${\mathcal A}$ is semisimple if the algebra of affiliated operators ${\mathcal U}$ of ${\mathcal A}$ is semisimple. When ${\mathcal A}$ is not semisimple, we give the upper and lower bounds for the global dimensions of ${\mathcal A}$ and ${\mathcal U}.$ This last result requires the use of the Continuum Hypothesis.
dc.identifierhttps://arxiv.org/abs/math/0702529
dc.identifierhttp://arxiv.org/abs/math/0702529
dc.identifierMathematica Bohemica, 132 (2007), no. 1, 13 - 26
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/141035
dc.subjectRings and Algebras
dc.subjectOperator Algebras
dc.subject16W99, 46L10, 46L99, 16K99
dc.titleSemisimplicity and global dimension of a finite von Neumann algebra
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