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Non-vanishing mod $p$ of derived Hecke algebras of multiplicative groups over number fields, II
We investigate the derived Hecke action on the cohomology of an arithmetic manifold associated to the multiplicative group over a number field. Under mild assumptions, we prove that the derived Hecke action is non-vanishing modulo $p$ in every degree. Moreover, the total cohomology ring with $\mathb
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