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The κ-Poincaré Group on a C^*-level

2018/09/26 by Piotr Stachura, Stachura, Piotr
Mathematics · Physics and Astronomy · #20G42 #22A22 #46L65 #46L89 #Advanced Operator Algebra Research #Advanced Topics in Algebra #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #Operator Algebras (math.OA) #Quantum Algebra (math.QA) #hep-th #math-ph #math.MP #math.OA #math.QA #msc:20G42 #msc:22A22 #msc:46L65 #msc:46L89

paper · pdf · doi:10.48550/arxiv.1809.10053

33 pages, no figures

arxiv created 2018/09/26 · openalex publication_date 2018/09/26 · arxiv updated 2018/09/27 · openalex created_date 2022/08/02 · openalex updated_date 2026/07/28

Abstract

The C^*-algebraic κ-Poincaré Group is constructed. The construction uses groupoid algebras of differential groupoids associated to Lie group decomposition. It turns out the underlying C^*-algebra is the same as for "κ-Euclidean Group" but a comultiplication is twisted by some unitary multiplier. Generators and commutation relations among them are presented.

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