3 papers
math-ph2023
Noncommutative Geometry and Gauge theories on AF algebras
Gaston Nieuviarts
Non-commutative geometry (NCG) is a mathematical discipline developed in the 1990s by Alain Connes. It is presented as a new generalization of usual geometry, both encompassing and…
math-ph2022
Lifting Bratteli Diagrams between Krajewski Diagrams: Spectral Triples, Spectral Actions, and algebras
Thierry Masson, Gaston Nieuviarts
In this paper, we present a framework to construct sequences of spectral triples on top of an inductive sequence defining an -algebra. One aim of this paper is to lift arrows o…
math-ph2021
Derivation-based Noncommutative Field Theories on algebras
Thierry Masson, Gaston Nieuviarts
In this paper, we start the investigation of a new natural approach to "unifying" noncommutative gauge field theories (NCGFT) based on approximately finite-dimensional () …