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Imprimitivity for C^*-Coactions of Non-Amenable Groups

1996/02/07 by S. Kaliszewski, John Quigg, Kaliszewski, S. +1
Mathematics · #Advanced Operator Algebra Research #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #Random Matrices and Applications #Spectral Theory in Mathematical Physics #funct-an #math.OA

paper · pdf · doi:10.48550/arxiv.funct-an/9602003

23 pages, LaTeX 2e, requires amscd.sty and pb-diagram.sty. Revisions include deletion of false Lemma 2.3 and amendment of proofs of Proposition 2.4 and Theorem 4.1, which had relied on the false lemma or its proof

openalex publication_date 1996/02/07 · arxiv created 1996/04/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a condition on a full coaction (A,G,δ) of a (possibly) nonamenable group G and a closed normal subgroup N of G which ensures that Mansfield imprimitivity works; i.e. that A×_δ\vert G/N is Morita equivalent to A×δ\deltahat,r N. This condition obtains if N is amenable or δ is normal. It is preserved under Morita equivalence, inflation of coactions, the stabilization trick of Echterhoff and Raeburn, and on passing to twisted coactions.

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