Lectures on the three--dimensional non--commutative spheres
Marc Bellon (LPTHE, Cefimas)
TL;DR
This paper provides a self-contained overview of the mathematical structure and properties of three-dimensional non-commutative spheres, based on the foundational work of Connes and Dubois-Violette.
Contribution
It offers an accessible exposition of the key results on non-commutative 3-spheres, clarifying their construction and significance in non-commutative geometry.
Findings
Detailed description of non-commutative 3-spheres
Clarification of their algebraic and geometric properties
Summary of Connes and Dubois-Violette's key results
Abstract
These are expanded notes for a short course given at the Universidad Nacional de La Plata. They aim at giving a self-contained account of the results of Alain Connes and Michel Dubois--Violette.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Advanced Topics in Algebra · Noncommutative and Quantum Gravity Theories