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We prove that $M_n(\mathbb{C})$ contains no abelian Kadison--Singer algebra for any $n \geq 3$.
Branson's $Q$-curvature is a natural fourth-order counterpart of scalar curvature in conformal geometry. In analogy with the classical recovery of the Ricci tensor from the linearized scalar curvature, Lin and Yuan introduced a symmetric $2$-tensor $J_g$ through the formal adjoint of the linearized $Q$-curvature and es...
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