On the algebra generated by two projections

DOI10.1063/1.531162zbMath0827.46064OpenAlexW2061245103MaRDI QIDQ4837393

Silviu Borac

Publication date: 1995

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.531162

zbMATH Keywords

quantum Hall systemsKato's dualmany-body fermion systemnonrelativistic charged fermionsvon Neumann algebra generated by a pair of projections on a separable Hilbert space

Mathematics Subject Classification ID

Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Applications of selfadjoint operator algebras to physics (46L60) Quantum equilibrium statistical mechanics (general) (82B10) Applications of functional analysis in quantum physics (46N50)

Related Items (6)

Twisted duality of the CAR-algebra ⋮ On polynomials in spectral projections of spin operators ⋮ Distributions of eigenvalues and inertias of some block Hermitian matrices consisting of orthogonal projectors ⋮ On relationships between two linear subspaces and two orthogonal projectors ⋮ Miscellaneous equalities for idempotent matrices with applications ⋮ Maximal violation of Bell inequalities by position measurements

Cites Work

• \(R\)-commutative geometry and quantization of Poisson algebras
• Charge deficiency, charge transport and comparison of dimensions
• The index of a pair of projections
• Differential calculus on compact matrix pseudogroups (quantum groups)
• Derivations and automorphisms of operator algebras

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