A generalised Green-Julg theorem for proper groupoids and Banach algebras

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dc.creatorParavicini, Walther
dc.date2009-02-25
dc.date.accessioned2026-07-07T12:46:44Z
dc.date.available2026-07-07T12:46:44Z
dc.descriptionThe Green-Julg theorem states that K_0^G(B) is isomorphic to K_0(L^1(G,B)) for every compact group G and every G-C*-algebra B. We formulate a generalisation of this result to proper groupoids and Banach algebras and deduce that the Bost assembly map is surjective for proper Banach algebras. On the way, we show that the spectral radius of an element in a C_0(X)-Banach algebra can be calculated from the spectral radius in the fibres.
dc.description42 pages; submitted
dc.identifierhttps://arxiv.org/abs/0902.4365
dc.identifierhttp://arxiv.org/abs/0902.4365
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221483
dc.subjectK-Theory and Homology
dc.subjectOperator Algebras
dc.subject19K35 (Primary) 43A20, 22A22, 22D15 (Secondary)
dc.titleA generalised Green-Julg theorem for proper groupoids and Banach algebras
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