Involutive and Peirce Gradings in JBW*-Triples

DOI10.1081/AGB-120021895zbMath1027.17027OpenAlexW2075236989MaRDI QIDQ4408742

C. Martin Edwards, Gottfried T. Rüttimann

Publication date: 29 June 2003

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1081/agb-120021895

zbMATH Keywords

Peirce gradingsbicontractive projectionsJBW*-triple factors

Mathematics Subject Classification ID

Structure theory for Jordan algebras (17C10) Nonassociative selfadjoint operator algebras (46L70) Nonassociative topological algebras with an involution (46K70)

Related Items (4)

Involutions in the automorphism groups of small sporadic simple groups. ⋮ Involutive gradings of JBW\(^{*}\)-triple factors ⋮ Orthogonal pairs of weak*-closed inner ideals in a JBW*-triple ⋮ INVOLUTIVE GRADINGS AND KERNELS IN JBW*-TRIPLES

Cites Work

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• A Riemann mapping theorem for bounded symmetric domains in complex Banach spaces
• Conditional expectation and bicontractive projections on Jordan \(C^ *\)- algebras and their generalizations
• Peirce ideals in Jordan triple systems
• Jordan pairs
• Jordan \(C^*\)-algebras
• The lattice of weak\(^*\)-closed inner ideals in a \(W^*\)-algebra
• Compatible subtriples of Jordan \(^*\)-triples
• The central hull and central kernel in JBW\(^*\)-triples
• The range of a structural projection
• Inner ideals in \(W^*\)-algebras
• Peirce inner ideals in Jordan\(^*\)-triples
• Von Neumann regularity in Jordan triple systems
• Structure of the predual of a JBW*-triple.
• Contractive projections on Jordan $C^*$-algebras and generalizations.
• Characterization of the predual and ideal structure of a JBW*-triple.
• Involutive gradings of jordan structures
• The centroid of a weak-closed inner ideal in a \(JBW^*\)-triple

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