Please use this identifier to cite or link to this item: http://repo.lib.jfn.ac.lk/ujrr/handle/123456789/9315
Title: The Stability Properties of Strong Invariant Approximation Property
Authors: Kannan, K.
Keywords: Strong invariant approximation property;Uniform Roe algebras;Invariant approximation property
Issue Date: 2013
Publisher: International Journal of Pure and Applied Mathematics
Abstract: Let G be a countable exact discrete group. G has the strong invariant approximation property(SIAP) if and only if C ∗ u (G, S) G = C ∗ λ (G) ⊗ S for any Hilbert space H and closed subspace S ⊆ H. We shall use results of Haagerup and Kraus on the approximation property (AP) to investigate some permanence properties of the SIAP for discrete groups. This can be done most efficiently for exact groups. In this paper we describe that the stability properties of the SIAP property pass to semi direct products, and extensions for discrete exact groups.
URI: http://repo.lib.jfn.ac.lk/ujrr/handle/123456789/9315
ISSN: 1311-8080 (printed version)
DOI: http://dx.doi.org/10.12732/ijpam.v88i4.10
Appears in Collections:Mathematics and Statistics

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