Develops K-theoretic obstruction theory for linearizing QCA representations over arbitrary fields, extracting universal classes and computing homotopy types over point/line/plane in the complex unitary case.
Journal of the London Mathematical Society , volume =
3 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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2026 3verdicts
UNVERDICTED 3representative citing papers
Establishes Strong Atiyah Conjecture for finite-index torsion-free subgroups of Out(G) when G is a surface group, free group or RAAG, implying discrete von Neumann dimensions and Zero Divisor Conjecture for the group algebras.
Proves that virtual properties including virtually RFRS, virtually (compact) special, virtually CAT(0) cube, and virtually normally poly-free are closed under graph products, with an elementary proof of the underlying strong commensurability theorem.
citing papers explorer
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$K$-Theoretic Obstructions to Linearizing QCA Representations
Develops K-theoretic obstruction theory for linearizing QCA representations over arbitrary fields, extracting universal classes and computing homotopy types over point/line/plane in the complex unitary case.
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Outer automorphism groups and the Atiyah Conjecture
Establishes Strong Atiyah Conjecture for finite-index torsion-free subgroups of Out(G) when G is a surface group, free group or RAAG, implying discrete von Neumann dimensions and Zero Divisor Conjecture for the group algebras.
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Virtual inheritance properties of graph products
Proves that virtual properties including virtually RFRS, virtually (compact) special, virtually CAT(0) cube, and virtually normally poly-free are closed under graph products, with an elementary proof of the underlying strong commensurability theorem.