IJPAM: Volume 88, No. 4 (2013)
STRONG INVARIANT APPROXIMATION PROPERTY
Department of Mathematics and Statistics
University of Jaffna
Jaffna, SRI LANKA
Abstract. Let be a countable exact discrete group. has the strong invariant approximation property(SIAP) if and only if for any Hilbert space and closed subspace . 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.
Received: September 12, 2013
AMS Subject Classification: 20F65, 18G60
Key Words and Phrases: strong invariant approximation property, uniform Roe algebras, invariant approximation property
Download paper from here.
DOI: 10.12732/ijpam.v88i4.10 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395