Extensions of Hilbert bimodules and associated Cuntz-Pimsner algebras
Operator Algebras
2011-05-10 v1
Abstract
We extend the definition of an extension of a right Hilbert module to the setting of Hilbert bimodules and show that an extension of Hilbert bimodules induces an extension of Cuntz-Pimsner algebras. We also study the Cuntz-Pimsner algebra associated to the multiplier bimodule and show that an extension can be realised as a restricted direct-sum bimodule.
Keywords
Cite
@article{arxiv.1105.1615,
title = {Extensions of Hilbert bimodules and associated Cuntz-Pimsner algebras},
author = {David Robertson},
journal= {arXiv preprint arXiv:1105.1615},
year = {2011}
}