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On some “stability” properties of the full C*-algebra associated to the free group F∞

Published online by Cambridge University Press:  20 January 2009

Asma Harcharras
Asma Harcharras
Affiliation:
Université Paris, 6 Équipe D'analyse, Case 186 75252 Paris Cedex 05, France, E-mail address: harchars@moka.ccr.jussieu.fr
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Let C*(F∞) be the full C*-algebra associated to the free group of countably many generators and SnC*(F∞) be the class of all n-dimensional operator subspaces of C*(F∞). In this paper, we study some stability properties of SnC*(F∞). More precisely, we will prove that for any E0, E1 in SnC*(F∞), the Haagerup tensor product E0⊗hE1 and the operator space obtained by complex interpolation Eθ are (1 + ∈)-contained in C*(F∞) for arbitrary ∈>0. On the other hand, we will show an extension property for WEPC*-algebras.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 41 , Issue 1 , February 1998 , pp. 93 - 116
Copyright
Copyright © Edinburgh Mathematical Society 1998

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