1996/02/07 by S. Kaliszewski, John Quigg, Kaliszewski, S. +3
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Functional Analysis (math.FA) #Operator Algebras (math.OA) #funct-an #math.OA
paper · pdf · doi:10.48550/arxiv.funct-an/9602004
42 pages, LaTeX 2e, requires amscd.sty and pb-diagram.sty. Revisions include amendment of the proofs of Theorems 3.1, 4.1, 5.2 and 5.4, which had relied on the false Lemma 2.3 in [KQ95]. Two new lemmas have been inserted early in Section 5 to facilitate this
openalex publication_date 1996/02/07 · arxiv created 1996/04/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Consider a coaction δ of a locally compact group G on a \cstar algebra A, and a closed normal subgroup N of G. We prove, following results of Echterhoff for abelian G, that Mansfield's imprimitivity between A×δ|G/N and A×δG×\deltahat,rN implements equivalences between Mansfield induction of representations from A× G/N to A× G and restriction of representations from A× G×r N to A× G, and between restriction of representations from A× G to A× G/N and Green induction of representations from A× G to A× G×r N. This allows us to deduce properties of Mansfield induction from the known theory of ordinary crossed products.