74 citations · 205 across the 26 of their papers we have counts for
5 papers · 2 filters
Factoriality and type classification of \textsf{k}-graph von Neumann algebras
Dilian Yang
Let $\Fth$ be a single vertex \textsf{k}-graph, and be the von Neumann algebra induced from the GNS representation of a distinguished state of its -grap…
The Hopf structure of some dual operator algebras
Matthew Kennedy, Dilian Yang
We study the Hopf structure of a class of dual operator algebras corresponding to certain semigroups. This class of algebras arises in dilation theory, and includes the noncommutat…
Orthogonally Additive Mappings on Hilbert Modules
Dijana Ilisevic, Aleksej Turnsek, Dilian Yang
In this paper, we study the representation of orthogonally additive mappings acting on Hilbert -modules and Hilbert -modules. One of our main results shows that every con…
A non-self-adjoint Lebesgue decomposition
Matthew Kennedy, Dilian Yang
We study the structure of bounded linear functionals on a class of non-self-adjoint operator algebras that includes the multiplier algebra of every complete Nevanlinna-Pick space,…
Nonself-adjoint 2-graph algebras
Adam H. Fuller, Dilian Yang
We study the structure of weakly-closed nonself-adjoint algebras arising from representations of single vertex 2-graphs. These are the algebras generated by 2 isometric tuples whic…