27 citations · 52 across the 4 of their papers we have counts for
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math.OA2008★ 27 cited
Representations of Higher Rank Graph Algebras
Kenneth R. Davidson, Dilian Yang
Let $\Fth$ be a $\Bk$-graph on a single vertex. We show that every irreducible atomic -representation is the minimal -dilation of a group construction representation. It foll…
math.OA2007★ 16 cited
Dilation Theory for Rank 2 Graph Algebras
Kenneth R. Davidson, Stephen C. Power, Dilian Yang
An analysis is given of -representations of rank 2 single vertex graphs. We develop dilation theory for the non-selfadjoint algebras $\A_θ$ and $\A_u$ which are associated with…
math.OA2007★ 1 cited
Atomic Representations of Rank 2 Graph Algebras
Kenneth R. Davidson, Stephen C. Power, Dilian Yang
We provide a detailed analysis of atomic *-representations of rank 2 graphs on a single vertex. They are completely classified up to unitary equivalence, and decomposed into a dire…