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arXiv · 1001.2755

Operator algebras from the discrete Heisenberg semigroup

M. Anoussis·A. Katavolos·I. G. Todorov
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Abstract

We study reflexivity and structure properties of operator algebras generated by representations of the discrete Heisenberg semi-group. We show that the left regular representation of this semi-group gives rise to a semi-simple reflexive algebra. We exhibit an example of a representation which gives rise to a non-reflexive algebra. En route, we establish reflexivity results for subspaces of $H^{\infty}(\bb{T})\otimes\cl B(\cl H)$.

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M. Anoussis, A. Katavolos, I. G. Todorov. 2010-01-15. Operator algebras from the discrete Heisenberg semigroup. https://doi.org/10.1017/s0013091510000143

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