On the Bousfield classes of $H_\infty$-ring spectra

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arxiv 1612.04386 v2 pith:CAJXTQKP submitted 2016-12-13 math.AT

Jeremy Hahn This is my paper · ORCID

classification math.AT

keywords acyclicringaffirmingbousfieldclassesconjecturehoveyinfty

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abstract

We prove that any K(n)-acyclic, $D_p$-ring spectrum is K(n+1)-acyclic, affirming an old conjecture of Mark Hovey.

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Chromatic Purity in Hermitian K-Theory at $p=2$
math.KT 2025-01 reject novelty 6.0 of 10

At p=2, L-theory of rings with anti-involution is claimed to have no chromatic redshift and to satisfy a chromatic purity theorem.