2010/01/18 by David Robertson, Wojciech Szymański, Robertson, David +1 · 2 citations
Mathematics · Physics and Astronomy · #46L08 #46L65 #46L85 #Advanced Operator Algebra Research #Advanced Topics in Algebra #Cold Atom Physics and Bose-Einstein Condensates #FOS: Mathematics #Noncommutative and Quantum Gravity Theories #Operator Algebras (math.OA) #Quantum Mechanics and Applications
paper · pdf · doi:10.48550/arxiv.1001.2982
openalex publication_date 2010/01/18 · openalex created_date 2025/10/24 · openalex updated_date 2026/07/28
The structure of the C^*-algebras corresponding to even-dimensional mirror\nquantum spheres is investigated. It is shown that they are isomorphic to both\nCuntz-Pimsner algebras of certain C^*-correspondences and C^*-algebras of\ncertain labelled graphs. In order to achieve this, categories of labelled\ngraphs and C^*-correspondences are studied. A functor from labelled graphs to\nC^*-correspondences is constructed, such that the corresponding associated\nC^*-algebras are isomorphic. Furthermore, it is shown that\nC^*-correspondences for the mirror quantum spheres arise via a general\nconstruction of restricted direct sum.\n