The index of a subspatial product system over a Hilbert $C^*$-module -- an example

Dragoljub J. Kečkić; Biljana Vujošević

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arXiv · 1512.04521

The index of a subspatial product system over a Hilbert $C^*$-module -- an example

Dragoljub J. Kečkić·Biljana Vujošević

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Abstract

Recently, Bhat, Liebscher and Skeide exhibited an unusual example of product system of Hilbert $C^*$ modules. Namely, a subsystem of a Fock system, that is not Fock. Later, the authors defined the index of any product system of Hilbert $C^*$-modules, generalizing earlier partial definitions. In this note we compute the index of the mentioned interesting subsystem, and also we determine all its units.

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Dragoljub J. Kečkić, Biljana Vujošević. 2015-12-12. The index of a subspatial product system over a Hilbert $C^*$-module -- an example. https://arxiv.org/abs/1512.04521

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