Jordan operator algebras
DOI10.1007/BF01103853zbMath0615.46064OpenAlexW4230680797MaRDI QIDQ1820401
Publication date: 1987
Published in: Journal of Soviet Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01103853
Radon-Nikodym theoremJordan Banach algebrasClassification of JW-factorsenveloping \(W^ *\)-algebrasInvolution *-anti-automorphisms of injective \(W^ *\)-factorsJordan algebras of self-adjoint operators on a Hilbert spaceJW- algebrasMeasures on projections of JBW-algebrasTomita-Takesaki theory for JBW-algebras
Free probability and free operator algebras (46L54) General theory of von Neumann algebras (46L10) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Classifications of (C^*)-algebras (46L35) Jordan structures associated with other structures (17C50) Jordan structures on Banach spaces and algebras (17C65) Nonassociative selfadjoint operator algebras (46L70)
Cites Work
- Cônes autopolaires et algèbres de Jordan
- Gleason's theorem for type I von Neumann algebras
- A theorem about states on quantum logics. States on Jordan algebras
- Modular Jordan algebras of self-adjoint operators
- Antiautomorphismes involutifs des facteurs de von Neumann injectifs. II
- On normed Jordan algebras which are Banach dual spaces
- On a characterization of the state space of quantum mechanics
- State space of C*-algebras
- Real structure in the hyperfinite factor
- Extensions of traces and type criterions for Jordan algebras of self- adjoint operators
- E-compact extensions of topological spaces
- On automorphism groups of \(II_1\)-factors
- Classification of injective factors. Cases \(\mathrm{II}_1\), \(\mathrm{II}_\infty\), \(\mathrm{III}_\lambda\), \(\lambda\neq 1\)
- Homogeneous self dual cones, versus Jordan algebras. The theory revisited
- A Gelfand-Neumark theorem for Jordan algebras
- State spaces of Jordan algebras
- The flow of weights on factors of type III
- Measures on projections and physical states
- Normal state spaces of Jordan and von Neumann algebras
- Jordan algebras of type I
- On anti-automorphisms of von Neumann algebras
- Physical states on a \(C^*\)-algebra
- The Radon-Nikodym theorem for von Neumann algebras
- A Cosine Functional Equation in Hilbert Space
- AUTOMORPHISMS OF SPIN FACTORS AND THE DECOMPOSITION OF POSITIVE MAPS
- Semifinite traces on JBW-algebras
- Measures on Projections in W*-algebras of Type II1
- Traces On Jordan Algebras
- TYPE I2 JBW-ALGEBRAS
- Positive projections and Jordan structure in operator algebras.
- The structure of type I JBW-algebras
- Positive Projections with Contractive Complements on Jordan Algebras
- On the centres of hereditary JBW-subalgebras of a JBW-algebra
- On Non-Commutative Spectral Theory and Jordan Algebras
- Real Structure in σ-Finite Factors of Type IIIλ where 0 < λ < 1
- Une classification des facteurs de type ${\rm III}$
- Jordan algebras of self-adjoint operators
- Generalization of Gleason's theorem
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