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Vanishing of L-2-Betti numbers and failure of acylindrical hyperbolicity of matrix groups over rings

Ji, F; Ye, SK

Ji, F (reprint author), Nanyang Technol Univ, Infinitus, Singapore, Singapore.

ALGEBRAIC AND GEOMETRIC TOPOLOGY, 2017; 17 (5): 2825

Abstract

Let R be an infinite commutative ring with identity and n >= 2 an integer. We prove that for each integer i = 0, 1, ... , n - 2, the L-2-Betti numb......

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