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Classification of injective JW-factors

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Publication:2266415
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DOI10.1007/BF01086161zbMath0561.46028WikidataQ114234072 ScholiaQ114234072MaRDI QIDQ2266415

Shavkat A. Ayupov

Publication date: 1984

Published in: Functional Analysis and its Applications (Search for Journal in Brave)


zbMATH Keywords

enveloping von Neumann algebrainjective von Neumann algebraJW-factorclassification of involutive anti-automorphismsuniqueness of injective factorsweakly closed Jordan algebra of self-adjoint operators on a Hilbert space with trivial center


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 (1)

Injectivity and nuclearity properties for real \(C^*\)-algebras



Cites Work

  • Real structure in the hyperfinite factor
  • Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)
  • Jordan algebras of type I


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