The index of a subspatial product system over a Hilbert $C^*$-module -- an example
Operator Algebras
2015-12-16 v1 Dynamical Systems
Functional Analysis
Abstract
Recently, Bhat, Liebscher and Skeide exhibited an unusual example of product system of Hilbert modules. Namely, a subsystem of a Fock system, that is not Fock. Later, the authors defined the index of any product system of Hilbert -modules, generalizing earlier partial definitions. In this note we compute the index of the mentioned interesting subsystem, and also we determine all its units.
Keywords
Cite
@article{arxiv.1512.04521,
title = {The index of a subspatial product system over a Hilbert $C^*$-module -- an example},
author = {Dragoljub J. Kečkić and Biljana Vujošević},
journal= {arXiv preprint arXiv:1512.04521},
year = {2015}
}