74 citations · 205 across the 26 of their papers we have counts for
3 papers · 1 filter
Periodicity in Rank 2 Graph Algebras
Kenneth R. Davidson, Dilian Yang
Kumjian and Pask introduced an aperiodicity condition for higher rank graphs. We present a detailed analysis of when this occurs in certain rank 2 graphs. When the algebra is aperi…
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…
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…