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Operator algebras from the discrete Heisenberg semigroup
Published online by Cambridge University Press: 08 November 2011
Abstract
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 .
- Type
- Research Article
- Information
- Proceedings of the Edinburgh Mathematical Society , Volume 55 , Issue 1 , February 2012 , pp. 1 - 22
- Copyright
- Copyright © Edinburgh Mathematical Society 2011
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