A FUNCTIONAL REPRESENTATION FOR NON-COMMUTATIVE C*-ALGEBRAS

DOI10.1142/S0129055X94000237zbMath0818.46065OpenAlexW2161739689MaRDI QIDQ4318643

Alessandro Manià, Livio Pizzocchero, Renzo Cirelli

Publication date: 9 January 1995

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

Full work available at URL: https://doi.org/10.1142/s0129055x94000237

zbMATH Keywords

representation of non commutative \(C^*\)-algebras as function algebras on the pure state space

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05)

Related Items (11)

A horizontal categorification of Gel'fand duality ⋮ REDUCTION PROCEDURES IN CLASSICAL AND QUANTUM MECHANICS ⋮ Serre-Swan theorem for non-commutative \(C^*\)-algebras. ⋮ INFINITESIMAL TAKESAKI DUALITY OF HAMILTONIAN VECTOR FIELDS ON A SYMPLECTIC MANIFOLD ⋮ Remarks on the GNS Representation and the Geometry of Quantum States ⋮ On a geometric realization of \(C^\ast\)-algebras ⋮ Frame functions in finite-dimensional quantum mechanics and its Hamiltonian formulation on complex projective spaces ⋮ TOWARDS A DEFINITION OF QUANTUM INTEGRABILITY ⋮ BASICS OF QUANTUM MECHANICS, GEOMETRIZATION AND SOME APPLICATIONS TO QUANTUM INFORMATION ⋮ Poisson Spaces with a Transition Probability ⋮ The pure state space of quantum mechanics as Hermitian symmetric space

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