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discrete heisenberg semigroup

Proceedings of the Edinburgh Mathematical Society (1)

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Operator algebras from the discrete Heisenberg semigroup
Part of
- Abstract harmonic analysis
- Linear spaces and algebras of operators
M. Anoussis, A. Katavolos, I. G. Todorov
Journal:

Proceedings of the Edinburgh Mathematical Society / Volume 55 / Issue 1 / February 2012

Published online by Cambridge University Press:

08 November 2011, pp. 1-22
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We study reflexivity and structural properties of operator algebras generated by representations of the discrete Heisenberg semigroup. We show that the left regular representation of this semigroup gives rise to a semi-simple reflexive algebra. We exhibit an example of a representation that gives rise to a non-reflexive algebra. En route, we establish reflexivity results for subspaces of .