Commenced in January 2007
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Approximation Property Pass to Free Product
Authors: Kankeyanathan Kannan
Abstract:
On approximation properties of group C* algebras is everywhere; it is powerful, important, backbone of countless breakthroughs. For a discrete group G, let A(G) denote its Fourier algebra, and let M₀A(G) denote the space of completely bounded Fourier multipliers on G. An approximate identity on G is a sequence (Φn) of finitely supported functions such that (Φn) uniformly converge to constant function 1 In this paper we prove that approximation property pass to free product.Keywords: approximation property, weakly amenable, strong invariant approximation property, invariant approximation property
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