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$L^2$-Betti numbers and computability of reals (2202.03159v4)
Published 7 Feb 2022 in math.GR, cs.LO, math.GT, and math.LO
Abstract: We study the computability degree of real numbers arising as $L2$-Betti numbers or $L2$-torsion of groups, parametrised over the Turing degree of the word problem.