Hilbert \(C^*\)-systems for actions of the circle group

DOI10.1016/S0034-4877(01)80048-3zbMath1008.46025arXivmath-ph/0010011MaRDI QIDQ5945639

Hellmut Baumgärtel, Alan L. Carey

Publication date: 1 April 2003

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0010011

zbMATH Keywords

Fock representationcircle groupfermion algebraHilbert \(C^*\)-systemsimplementable Bogoljubov unitaries

Mathematics Subject Classification ID

Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of selfadjoint operator algebras to physics (46L60)

Related Items (3)

REALIZATION OF MINIMAL C*-DYNAMICAL SYSTEMS IN TERMS OF CUNTZ–PIMSNER ALGEBRAS ⋮ DUALITY OF COMPACT GROUPS AND HILBERT C*-SYSTEMS FOR C*-ALGEBRAS WITH A NONTRIVIAL CENTER ⋮ Superselection in the presence of constraints

Cites Work

• Why there is a field algebra with a compact gauge group describing the superselection structure in particle physics
• A note on the Boson-Fermion correspondence and infinite dimensional groups
• Automorphisms of the canonical anticommutation relations and index theory
• HILBERT SPACE REPRESENTATIONS OF THE GAUGE GROUPS OF SOME TWO DIMENSIONAL FIELD THEORIES
• Superselection Structures for C*-Algebras with Nontrivial Center
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