2 problems

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Positivity of the operator $\mathcal{I}_s$ when the trivial representation is not isolated
Let $(X,d)$ be a proper CAT(-1) space and let $G$ be a non-elementary discrete group of isometries acting properly and convex-compact. Let $\mathcal{I}_s$ be the operator on…
Conjectureopencat-1-groups complementary-series representation-theoryarXiv posted 3 days ago
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Uniformly bounded complementary-series analogue for negatively curved groups
A negatively curved group here means a group in the CAT(-1) setting under discussion, with complementary series defined as a continuously parametrized family of unitary representat…
Conjectureopencat-1-groups complementary-series representation-theoryarXiv posted 3 days ago

Positivity of the operator Is\mathcal{I}_sIs​ when the trivial representation is not isolated