92 citations · 130 across the 10 of their papers we have counts for
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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…
math.OA2007★ 8 cited
Operator algebras associated with unitary commutation relations
Stephen C. Power, Baruch Solel
We define nonselfadjoint operator algebras with generators subject to the unitary commutation relations of the form \[ L_{e_i}L_{f_j} =…