Recursive fermion system in Cuntz algebra. I

DOI10.1007/s002200200651zbMath1029.46079arXivmath-ph/0110003OpenAlexW1511812244MaRDI QIDQ1849275

Mitsuo Abe, Katsunori Kawamura

Publication date: 1 December 2002

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

Full work available at URL: https://arxiv.org/abs/math-ph/0110003

zbMATH Keywords

Cuntz algebraCAR algebra

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) General theory of (C^*)-algebras (46L05) Applications of selfadjoint operator algebras to physics (46L60) Quantum stochastic calculus (81S25) Commutation relations and statistics as related to quantum mechanics (general) (81S05)

Related Items (23)

On representations of Cuntz algebras and pure isometries ⋮ PSEUDO-CUNTZ ALGEBRA AND RECURSIVE FP GHOST SYSTEM IN STRING THEORY ⋮ Unitary equivalence of representations of graph algebras and branching systems ⋮ On C*-algebras from interval maps ⋮ Branching laws for polynomial endomorphisms of Cuntz algebras arising from permutations ⋮ A generalization of de Bruijn graphs and classification of endomorphisms of Cuntz algebras by graph invariants ⋮ AUTOMATA COMPUTATION OF BRANCHING LAWS FOR ENDOMORPHISMS OF CUNTZ ALGEBRAS ⋮ Graph \(C^\ast\)-algebras, branching systems and the Perron-Frobenius operator ⋮ The stable exotic Cuntz algebras are higher-rank graph algebras ⋮ A crossed product of the canonical anticommutation relations algebra in the Cuntz algebra ⋮ Recursive boson system in the Cuntz algebra O∞ ⋮ A tensor product of representations of Cuntz algebras ⋮ Universal fermionization of bosons on permutative representations of the Cuntz algebra O2 ⋮ Cuntz-Krieger algebras representations from orbits of interval maps ⋮ Polynomial endomorphisms of the Cuntz algebras arising from permutations. I: General theory ⋮ UNIVERSAL ALGEBRA OF SECTORS ⋮ On graph algebras from interval maps ⋮ Representations of Thompson groups from Cuntz algebras ⋮ Representations of Higman-Thompson groups from Cuntz algebras ⋮ Branching laws for endomorphisms of fermions and the Cuntz algebra O2 ⋮ Unitary isomorphism of Fock spaces of bosons and fermions arising from a representation of the Cuntz algebra O2 ⋮ Extensions of representations of the CAR algebra to the Cuntz algebra O2—the Fock and the infinite wedge ⋮ Orbit representations from matrices

This page was built for publication: Recursive fermion system in Cuntz algebra. I