- Title
- A dual graph construction for higher-rank graphs, and K-theory for finite 2-graphs
- Creator
- Allen, Stephen; Pask, David; Sims, Aidan
- Relation
- Proceedings of the American Mathematical Society Vol. 134, no. 2, p. 455-464
- Publisher
- American Mathematical Society
- Resource Type
- journal article
- Date
- 2005
- Description
- Given a k-graph Lambda and an element p of N-k, we define the dual k-graph, p Lambda. We show that when Lambda is row-finite and has no sources, the C*-algebras C*(Lambda) and C*(p Lambda) coincide. We use this isomorphism to apply Robertson and Steger's results to calculate the K-theory of C*(Lambda) when Lambda is finite and strongly connected and satisfies the aperiodicity condition.
- Subject
- graphs as categories; graph algebra; C*-algebra; K-theory; cuntz-krieger algebras; c-asterisk-algebras; infinite-graphs
- Identifier
- uon:62
- Identifier
- http://hdl.handle.net/1959.13/24425
- Identifier
- ISSN:1088-6826
- Language
- eng
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