ℬ(ℋ) is a free semigroup algebra

Davidson, Kenneth

doi:10.1090/S0002-9939-05-08147-5

$\mathcal {B}(\mathcal {H})$ is a free semigroup algebra
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by Kenneth R. Davidson

Proc. Amer. Math. Soc. 134 (2006), 1753-1757

DOI: https://doi.org/10.1090/S0002-9939-05-08147-5

Published electronically: December 15, 2005

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Abstract:

We provide a simplified version of a construction of Charles Read. For any $n \ge 2$, there are $n$ isometries with orthogonal ranges with the property that the nonselfadjoint weak-$*$-closed algebra that they generate is all of $\mathcal {B}(\mathcal {H})$.

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