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On some "stability" properties of the full C*-algebra associated to the free group F∞
1998
Proceedings of the Edinburgh Mathematical Society
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Let CCFoo) be the full C-algebra associated to the free group of countably many generators and S,C(F al ) be the class of all n-dimensional operator subspaces of C'(F X ). In this paper, we study some stability properties of S,C(F 0Q ). More precisely, we will prove that for any £ 0 , E t in S^^F^), the Haagerup tensor product E o ® 4 £, and the operator space obtained by complex interpolation E e are (1 + ((-contained in C*(F OO ) for arbitrary e > 0. On the other hand, we will show an
doi:10.1017/s0013091500019441
fatcat:aidvmsqdhrglfkq2fzys6gqwoq