Operator algebras from the discrete Heisenberg semigroup
Operator Algebras
2014-07-15 v1
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 .
Cite
@article{arxiv.1001.2755,
title = {Operator algebras from the discrete Heisenberg semigroup},
author = {M. Anoussis and A. Katavolos and I. G. Todorov},
journal= {arXiv preprint arXiv:1001.2755},
year = {2014}
}