2013/08/21 by Alessandro Zucca, Zucca, Alessandro, Ludwik Dabrowski +2
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Operator Algebras (math.OA) #Quantum Algebra (math.QA) #math-ph #math.MP #math.OA #math.QA
paper · pdf · doi:10.48550/arxiv.1308.4738
19 pages
arxiv created 2013/08/21 · openalex publication_date 2013/08/21 · arxiv updated 2013/08/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Spectral triples over noncommutative principal \Tn-bundles are studied, extending recent results about the noncommutative geometry of principal U(1)-bundles. We relate the noncommutative geometry of the total space of the bundle with the geometry of the base space. Moreover, strong connections are used to build new Dirac operators. We discuss as a particular case the commutative case, the noncommutative tori and theta deformed manifolds.