Proves existence of the C-type renormalisation two-cycle in a Banach space of analytic maps with rigorous bounds on state-space scaling constants.
Laugesen, Erik Mosekilde, and Niels-Henrik Holstein-Rathlou
2 Pith papers cite this work. Polarity classification is still indexing.
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2026 2verdicts
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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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Existence of the C-type renormalisation two-cycle
Proves existence of the C-type renormalisation two-cycle in a Banach space of analytic maps with rigorous bounds on state-space scaling constants.
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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.