English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Plus monthly

Global: Zendy Tools annual

Global: Zendy Tools monthly

Global: Zendy Free Plan

In (MS1), Muhly and Solel developed a theory of tensor algebras over C- correspondences that extends the model theory of contractions in B (H): The main exam- ples are generated by Fock spaces, directed graphs, and analytic cross products. In this paper we show that many results of tensor algebras of directed graphs, including dilations and commutant lifting theorems for C0 completely contractive representations, can be deduced from results on Fock spaces. One of the main tools we use is the Poisson kernels, which we de…ne for arbitrary C-correspondences. The Fock space approach allows us to consider "weighted"graphs, where the dilation and commutant lifting theorems hold. Additionally we prove a rigidity result for submodules of the induced representations of directed graphs and we obtain projective resolutions of graph deformations.

Fock Space Techniques in Tensor Algebras of Directed Graphs