\(C^\ast\)-algebras of holonomy-diffeomorphisms \& quantum gravity. II

DOI10.1016/J.GEOMPHYS.2015.09.007zbMath1332.83040arXiv1209.5057OpenAlexW2217194410MaRDI QIDQ898626

Johannes Aastrup, Jesper Møller Grimstrup

Publication date: 18 December 2015

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1209.5057

zbMATH Keywords

noncommutative geometryquantum gravityAshtekar variables

Mathematics Subject Classification ID

Quantum field theory on curved space or space-time backgrounds (81T20) Quantization of the gravitational field (83C45) Applications of differential geometry to physics (53Z05) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Applications of functional analysis in quantum physics (46N50) Methods of noncommutative geometry in general relativity (83C65)

Related Items (5)

The metric nature of matter ⋮ Non‐perturbative Quantum Field Theory and the Geometry of Functional Spaces ⋮ On Representations of the Quantum Holonomy Diffeomorphism Algebra ⋮ Quantum holonomy theory ⋮ On nonperturbative quantum field theory and noncommutative geometry

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Intersecting quantum gravity with noncommutative geometry - a review
• Amenable unitary representations of locally compact groups
• On spectral triples in quantum gravity. II.
• On the support of the Ashtekar-Lewandowski measure
• Background independent quantum gravity: a status report
• C *-algebras of holonomy-diffeomorphisms and quantum gravity: I
• Loop quantum gravity: an outside view

This page was built for publication: \(C^\ast\)-algebras of holonomy-diffeomorphisms \& quantum gravity. II