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25 April 2024
 
  » arxiv » math.OA/0204029

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A Remark on Quantum Group Actions and Nuclearity
S. Doplicher ; R. Longo ; J.E. Roberts ; L. Zsido ;
Date 2 Apr 2002
Journal Reviews in Mathematical Physics 14, N. 7 & 8 (2002), 787-796
Subject Operator Algebras; Quantum Algebra MSC-class: 46L05, 16W30 | math.OA math.QA
AbstractLet H be a compact quantum group with faithful Haar measure and bounded counit. If H acts on a C*-algebra A, we show that A is nuclear if and only if its fixed-point subalgebra is nuclear. As a consequence H is a nuclear C*-algebra.
Source arXiv, math.OA/0204029
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