Inner ideals in \(C^*\)-algebras

DOI10.1007/BF01459262zbMath0743.46049MaRDI QIDQ1184144

Gottfried T. Rüttimann, C. Martin Edwards

Publication date: 28 June 1992

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164835

zbMATH Keywords

complete lattice of centrally equivalent pairs of open projectionscomplete lattice of norm closed inner idealsnorm closed inner ideal in a \(C^*\)-algebraunique centrally equivalent pair of open projections in the second dual

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) General theory of (C^*)-algebras (46L05)

Related Items (8)

A projection-less approach to Rickart Jordan structures ⋮ Automatic continuity of biorthogonality preservers between compact \(C^*\)-algebras and von Neumann algebras ⋮ A geometric characterization of structural projections on a JBW\(^{\ast}\)-triple. ⋮ Faithful inner ideals in \(JBW^{\ast}\)-triples ⋮ Compact tripotents in bi-dual JB*-triples ⋮ ON WEAK*-CLOSED INNER IDEALS IN JBW*-TRIPLES ⋮ Inner ideals and facial structure of the quasi-state space of a JB-algebra ⋮ The central hull and central kernel in JBW\(^*\)-triples

Cites Work

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• Jordan triple systems by the grid approach
• Jordan pairs
• Inner ideals in \(W^*\)-algebras
• Isometries of operator algebras
• Structure of the predual of a JBW*-triple.
• On the Facial Structure of the Unit Balls in a JBW^∗ -Triple and its Predual
• A Generalization of C^* -Algebras
• Jordan pairs with finite grids
• Ideal Theory in JB-Algebras
• Inner Ideals in Quadratic Jordan Algebras

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