Noncommutative Jordan C*-algebras

DOI10.1007/BF01239948zbMath0483.46049OpenAlexW2033310679MaRDI QIDQ1163212

Javier J. Pérez, Angel Rodríguez, R. Payá-Albert

Publication date: 1982

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/154831

zbMATH Keywords

representation theoryfactorM-idealsArens productstructure theoremfactor representationscentral projectionalternative B*-algebra of complex octonionsnoncommutative JB*-algebrasecond transpose involution

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) Classifications of (C^*)-algebras (46L35) Jordan structures on Banach spaces and algebras (17C65)

Related Items (22)

The uniqueness of the complete norm topology in complete normed nonassociative algebras ⋮ Commutativity ofC*-algebras and associativity ofJB*-algebras ⋮ Isometries of JB-algebras ⋮ Prime jordan-banch algebras with nonzero socle ⋮ Grothendieck's theorem and factorization of operators in Jordan triples ⋮ A non-smooth extension of Frechet differentiability of the norm with applications to numerical ranges ⋮ Jordan axioms for C*-algebras ⋮ Continuity of homomorphisms into complete normed algebraic algebras ⋮ Approximately norm-unital products on \(C^{\ast}\)-algebras, and a non-associative Gelfand-Naimark theorem ⋮ Nonassociative unitary Banach algebras ⋮ Weak continuity of holomorphic automorphisms in \(JB^*\)-triples ⋮ Geometrical properties of the product of a \(C^*\)-algebra ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A Kaplansky theorem for \(JB^*\)-algebras ⋮ Structure and representations of noncommutative C*-Jordan algebras ⋮ Real and complex noncommutative Jordan Banach algebras ⋮ A Gelfand-Neumark theorem for C*-alternative algebras ⋮ Inner \(M\)-ideals in Banach algebras ⋮ New associative and nonassociative Gelfand-Naimark theorems ⋮ Isomorphisms of H*-algebras

Cites Work

• On normed Jordan algebras which are Banach dual spaces
• Espaces de Banach: Existence et unicité de certains préduaux
• M-ideal structure in Banach algebras
• Jordan \(C^*\)-algebras
• A Gelfand-Neumark theorem for Jordan algebras
• M-structure in dual Banach spaces
• Norms and noncommutative Jordan algebras
• Jordan algebras of type I
• Ideals in semiprime alternative rings
• Alternative rings with d.c.c. I
• Geometry of the unit sphere of a \(C^ *\)-algebra and its dual
• Structure in real Banach spaces. I and II
• Simple alternative rings
• Hermitian Operators on Banach Jordan Algebras
• On Operator Commutators
• L-Structure in L-Spaces
• JV-algebras
• ON A NONASSOCIATIVE VIDAV-PALMER THEOREM
• A Vidav-Palmer Theorem for Jordan C∗-Algebras and Related Topics
• Intersection Properties of Balls and Subspaces in Banach Spaces
• A Vidav theorem for Banach Jordan algebras
• Jordan algebras of self-adjoint operators
• Power-associative rings
• Noncommutative Jordan Algebras of Characteristic 0
• Primitive Alternative Rings and Semi-Simplicity
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