On The Extension of the Toeplitz Algebra by Isometries
Operator Algebras
2013-02-05 v1 Functional Analysis
Abstract
We introduce the notion of \pi-extension of the semigroup \mathbb{Z}_+ and study the extensions of the Toeplitz algebras by isometric operators. We show that when the action of the Toeplitz algebra is irreducible all such extensions generate the same algebra, i.e. there are no non-trivial extensions of the Toeplitz algebra. Also we provide the examples of the non-trivial extensions of the Toeplitz algebra in case its representation is reducible.
Keywords
Cite
@article{arxiv.1302.0475,
title = {On The Extension of the Toeplitz Algebra by Isometries},
author = {T. A. Grigoryan and E. V. Lipacheva and V. H. Tepoyan},
journal= {arXiv preprint arXiv:1302.0475},
year = {2013}
}
Comments
10 pages