'Twisted duality' in the \rm C^* Clifford algebra

2014/07/12 by P. L. Robinson, Robinson, P. L.
Mathematics · #15A66 #16W55 #46L99 #Advanced Algebra and Geometry #Advanced Operator Algebra Research #FOS: Mathematics #Mathematical Analysis and Transform Methods #Rings and Algebras (math.RA) #math.RA #msc:15A66 #msc:16W55 #msc:46L99

paper · pdf · doi:10.48550/arxiv.1407.3326

5 pages

arxiv created 2014/07/12 · openalex publication_date 2014/07/12 · arxiv updated 2014/07/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Let V be a real inner product space and C[V] its \rm C^* Clifford algebra. We prove that if Z is a subspace of V then C[Z^⊥] coincides with the supercommutant of C[Z] in C[V].

Citations

• 'Twisted duality' for Clifford Algebras

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