Quantum Isometry Group for Spectral Triples with Real Structure

2008/11/30 by Debashish Goswami · 1 citation
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #math.OA #math.QA

paper · pdf · doi:10.3842/sigma.2010.007

published as SIGMA 6 (2010), 007, 7 pages

arxiv created 2010/01/20 · openalex publication_date 2010/01/20 · arxiv updated 2010/02/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Given a spectral triple of compact type with a real structure in the sense of [Dabrowski L., J. Geom. Phys. 56 (2006), 86-107] (which is a modification of Connes' original definition to accommodate examples coming from quantum group theory) and references therein, we prove that there is always a universal object in the category of compact quantum group acting by orientation preserving isometries (in the sense of [Bhowmick J.,

Citations

• Notes on Compact Quantum Groups
• Quantum Isometry Groups of 0- Dimensional Manifolds

Cited by

• Quantum isometry groups of noncommutative manifolds associated to groupC∗-algebras

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