Establishes Z[Z^k]-module isomorphism between graded homology of path groupoid and graded K0 of Kumjian-Pask algebra for row-finite source-free k-graphs, with preservation under in-splitting and sink deletion plus a lifting criterion via bridging bimodules.
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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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Higher-rank graphs and the graded $K$-theory of Kumjian-Pask algebras
Establishes Z[Z^k]-module isomorphism between graded homology of path groupoid and graded K0 of Kumjian-Pask algebra for row-finite source-free k-graphs, with preservation under in-splitting and sink deletion plus a lifting criterion via bridging bimodules.
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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.