Periodicity in Rank 2 Graph Algebras
2009 ◽
Vol 61
(6)
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pp. 1239-1261
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Abstract 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 aperiodic, we give another proof of the simplicity of C*(𝔽+θ). The periodic C*-algebras are characterized, and it is shown that C*(𝔽+θ) ≃ C(𝕋) ⊗ 𝒰 where 𝒰 is a simple C*-algebra.
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1986 ◽
Vol 29
(1)
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pp. 97-100
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1997 ◽
Vol 08
(03)
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pp. 357-374
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2008 ◽
Vol 19
(01)
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pp. 47-70
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2017 ◽
Vol 69
(3)
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pp. 548-578
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2015 ◽
Vol 427
(2)
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pp. 977-1003
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2017 ◽
Vol 60
(1)
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pp. 77-94
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