For finite directed acyclic graph R, C^*(F_R) is isomorphic to the AF core of C^*(E_R), with applications to quantum Grassmannians and flag manifolds.
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Defines ring structures on K_*(A) for AF cores A of graph C*-algebras via embeddings and shows generation by noncommutative line bundles under graph conditions, with examples including quantum projective spaces.
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On amplified graph C*-algebras as cores of Cuntz-Krieger algebras
For finite directed acyclic graph R, C^*(F_R) is isomorphic to the AF core of C^*(E_R), with applications to quantum Grassmannians and flag manifolds.
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On the K-theory of the AF core of a graph C*-algebra
Defines ring structures on K_*(A) for AF cores A of graph C*-algebras via embeddings and shows generation by noncommutative line bundles under graph conditions, with examples including quantum projective spaces.