Modules, completely positive maps, and a generalized KSGNS construction
Operator Algebras
2011-09-14 v1 Functional Analysis
Abstract
A very general KSGNS type dilation theorem in the context of right (not necessarily Hilbert) modules over -algebras is presented. The proof uses Kolmogorov type decompositions for positive-definite kernels with values in spaces of sesquilinear maps. More specific functional analytic applications are obtained by adding assumptions.
Cite
@article{arxiv.1007.3218,
title = {Modules, completely positive maps, and a generalized KSGNS construction},
author = {Juha-Pekka Pellonpää and Kari Ylinen},
journal= {arXiv preprint arXiv:1007.3218},
year = {2011}
}
Comments
18 pages