GRASSMANNIANS OF A FINITE ALGEBRA IN THE STRONG OPERATOR TOPOLOGY

DOI10.1142/S0129167X06003552zbMath1102.46038MaRDI QIDQ5470150

Esteban Andruchow, Lázaro Recht

Publication date: 29 May 2006

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

zbMATH Keywords

curves of projectionscurves of unitaries

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Noncommutative measure and integration (46L51) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Differentiability questions for infinite-dimensional manifolds (58B10)

Related Items

Geometry of infinite dimensional unitary groups: convexity and fixed points ⋮ Metric geometry of partial isometries in a finite von Neumann algebra ⋮ Homogeneous manifolds from noncommutative measure spaces ⋮ Minimal curves in \(\mathcal{U}(n)\) and \(\mathcal{G}l(n)^+\) with respect to the spectral and the trace norms ⋮ Weak Riemannian manifolds from finite index subfactors ⋮ Anti-selfadjoint operators as commutators of projections ⋮ GEOMETRY OF UNITARIES IN A FINITE ALGEBRA: VARIATION FORMULAS AND CONVEXITY ⋮ Geodesics of projections in von Neumann algebras

Cites Work

• Unnamed Item
• The geometry of spaces of projections in \(C^*\)-algebras
• Rectifiable diameters of the Grassmann spaces of certain von Neumann algebras and \(C^*\)-algebras
• A non-commutative extension of abstract integration
• JENSEN'S OPERATOR INEQUALITY
• THE RECTIFIABLE METRIC ON THE SPACE OF PROJECTIONS IN A C*-ALGEBRA
• A nonsmooth exponential