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math.KT 1

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2025 1

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CONDITIONAL 1

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Higher-rank graphs and the graded $K$-theory of Kumjian-Pask algebras

math.KT · 2025-07-26 · conditional · novelty 7.0 · 2 refs

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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  • Higher-rank graphs and the graded $K$-theory of Kumjian-Pask algebras math.KT · 2025-07-26 · conditional · none · ref 15 · 2 links

    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.