On a classification of irreducible almost commutative geometries

DOI10.1063/1.1811372zbMath1064.58024arXivhep-th/0312276OpenAlexW4206873458MaRDI QIDQ3024162

Bruno Iochum, Christoph A. Stephan, Thomas Schücker

Publication date: 30 June 2005

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

Full work available at URL: https://arxiv.org/abs/hep-th/0312276

Mathematics Subject Classification ID

Applications of selfadjoint operator algebras to physics (46L60) Noncommutative geometry in quantum theory (81R60) Noncommutative geometry (à la Connes) (58B34) Noncommutative global analysis, noncommutative residues (58J42)

Related Items (18)

Noncommutative geometry, topology, and the standard model vacuum ⋮ Going beyond the standard model with noncommutative geometry ⋮ On globally non-trivial almost-commutative manifolds ⋮ Electrodynamics from noncommutative geometry ⋮ Krein spectral triples and the fermionic action ⋮ A new algebraic structure in the standard model of particle physics ⋮ Noncommutative circle bundles and new Dirac operators ⋮ A reconstruction theorem for almost-commutative spectral triples ⋮ Finite temperature corrections and embedded strings in noncommutative geometry and the standard model with neutrino mixing ⋮ On a classification of irreducible almost-commutative geometries IV ⋮ A survey of spectral models of gravity coupled to matter ⋮ A DARK SECTOR EXTENSION OF THE ALMOST-COMMUTATIVE STANDARD MODEL ⋮ PARTICLE PHYSICS FROM ALMOST-COMMUTATIVE SPACETIMES ⋮ INTERSECTING CONNES NONCOMMUTATIVE GEOMETRY WITH QUANTUM GRAVITY ⋮ The spectral distance in the Moyal plane ⋮ On a classification of irreducible almost-commutative geometries V ⋮ Field theories on deformed spaces ⋮ The geometry of quantum lens spaces: real spectral triples and bundle structure

Cites Work

• Gravity coupled with matter and the foundation of non-commutative geometry
• Classification of finite spectral triples
• The spectral action principle
• Discrete spectral triples and their symmetries
• Noncommutative geometry and reality
• A farewell to unimodularity

This page was built for publication: On a classification of irreducible almost commutative geometries