# Product systems, subproduct systems and dilation theory of completely positive semigroups

@article{Shalit2010ProductSS, title={Product systems, subproduct systems and dilation theory of completely positive semigroups}, author={Orr Moshe Shalit}, journal={arXiv: Operator Algebras}, year={2010} }

This thesis is dedicated to developing a dilation theory for semigroups of completely positive maps. The first part treats two-parameter semigroups, and contains also contributions to dilation theory of product system representations. The second part deals with completely positive semigroups parameterized by quite general semigroups, where the major technical tool introduced is subproduct systems and their representations. In the third part subproduct systems are studied, together with the…

## One Citation

### CP-Semigroups and Dilations, Subproduct Systems and Superproduct Systems: The Multi-Parameter Case and Beyond

- Mathematics
- 2020

These notes are the output of a decade of research on how the results about dilations of one-parameter CP-semigroups with the help of product systems, can be put forward to d-parameter semigroups -…

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