A note on commutation relations and finite dimensional approximations
From MaRDI portal
Publication:2105651
DOI10.1016/j.exmath.2022.08.004OpenAlexW3215366179MaRDI QIDQ2105651
Fernando Lledó, Diego Martínez
Publication date: 8 December 2022
Published in: Expositiones Mathematicae (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2111.15221
canonical commutation relations\(\operatorname{C}^\ast\)-algebrasamenable tracesFølner approximations
Applications of operator algebras to the sciences (47L90) Axiomatic quantum field theory; operator algebras (81T05) General theory of (C^*)-algebras (46L05)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On spectral approximation, Følner sequences and crossed products
- Amenable traces and Følner \(C^\ast\)-algebras
- On \(C^*\)-algebras having linear, polynomial and subexponential growth
- Errata to ``A note on regular states and supplementary conditions
- The resolvent algebra: A new approach to canonical quantum systems
- On amenability of group algebras. I.
- \(C^*\)-algebras and numerical linear algebra
- Discrete groups with Kazhdan's property \(T\) and factorization property are residually finite
- On Følner nets, Szegö's theorem and other eigenvalue distribution theorems
- The amenability of affine algebras
- Amenability of coarse spaces and \(\mathbb {K}\)-algebras
- The resolvent algebra of non-relativistic Bose fields: observables, dynamics and states
- Amenability and uniform Roe algebras
- Folner conditions, nuclearity, and subexponential growth in \(C^*\)-algebras
- Massless relativistic wave equations and quantum field theory
- Topological invariants of dynamical systems and spaces of holomorphic maps. I.
- The resolvent algebra of non-relativistic Bose fields: sectors, morphisms, fields and dynamics
- A note on commutators in algebras of unbounded operators
- The resolvent algebra: ideals and dimension
- The resolvent algebra for oscillating lattice systems: dynamics, ground and equilibrium states
- The Heisenberg relation -- mathematical formulations
- On nuclear C\(^*\)-algebras
- Operator algebras. Theory of \(C^*\)-algebras and von Neumann algebras
- Über die Unbeschränktheit der Operatoren der Quantenmechanik
- Invariant means and finite representation theory of 𝐶*-algebras
- Quasi-diagonality and the finite section method
- LOCAL QUANTUM CONSTRAINTS
- The Unboundedness of Quantum-Mechanical Matrices
- Inner quasidiagonality and strong NF algebras.