6533b858fe1ef96bd12b6276

RESEARCH PRODUCT

Banach Partial *-Algebras and Quantum Models

C. Trapani

subject

Quadratic algebraDiscrete mathematicsPure mathematicsPartial traceOperator algebraMathematics::Operator AlgebrasQuantum groupSubalgebraAlgebra representationCCR and CAR algebrasC*-algebraMathematics

description

C*-algebras are, as known, the basic mathematical ingredient of the Haag- Kastler (Haag and Kastler 1964) algebraic approach to quantum systems, with infinitely many degrees of freedom. The usual procedure starts, in fact, with associating to each bounded region V of the configuration space of the system the C*-algebra AV of local observables in V. The uniform completion A of the algebra generated by the AV ’s is then considered as the C*-algebra of observables of the system

yearjournalcountryeditionlanguage
2007-07-04
https://doi.org/10.1007/3-540-46700-9_12