On some finite generation properties

Mathematics – Operator Algebras

Scientific paper

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Scientific paper

In the algebra $\Cal A=\Cal L(PSL(2,\Bbb Z)\otimes B(H)=\Cal L(F_N)\otimes
B(H)$, $N$ finite, there exists a bounded subnormal operator $Z$, such that
$\Cal A$ is the weak closure of linear span of the set ${(Z^*)^n Z^m|
n,m=0,1,2...}$.

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