A Dual Graph Construction for Higher-rank Graphs, and K-theory for Finite 2-graphs
نویسنده
چکیده
Given a k-graph Λ and an element p of N, we define the dual k-graph, pΛ. We show that when Λ is row-finite and has no sources, the C∗-algebras C∗(Λ) and C∗(pΛ) coincide. We use this isomorphism to apply Robertson and Steger’s results to calculate the K-theory of C∗(Λ) when Λ is finite and strongly connected and satisfies the aperiodicity condition.
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تاریخ انتشار 2004