Weak Riemannian manifolds from finite index subfactors

DOI10.1007/s10455-008-9104-1zbMath1166.58002arXiv0808.2527OpenAlexW2963713249WikidataQ115384674 ScholiaQ115384674MaRDI QIDQ1014878

Gabriel Larotonda, Esteban Andruchow

Publication date: 29 April 2009

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.2527

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) General theory of von Neumann algebras (46L10) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Geodesics in global differential geometry (53C22)

Cites Work

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• The topological structure of the unitary and automorphism groups of a factor
• The geometry of spaces of projections in \(C^*\)-algebras
• Nilpotents in finite algebras
• Index for subfactors
• On the homotopical significance of the type of von Neumann algebra factors
• Convex Structures and Continuous Selections
• Short Geodesics of Unitaries in the L² Metric
• Entropy and index for subfactors
• Minimality of Geodesics in Grassmann Manifolds
• GEOMETRY OF CONDITIONAL EXPECTATIONS AND FINITE INDEX
• GRASSMANNIANS OF A FINITE ALGEBRA IN THE STRONG OPERATOR TOPOLOGY
• GEOMETRY OF UNITARIES IN A FINITE ALGEBRA: VARIATION FORMULAS AND CONVEXITY

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