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Cohomology of Amenable Traces

Moradi, Mehdi
arXiv (All) · Papers
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46l55operator-algebrasprimary-46l05
We construct a bounded Hochschild one-cocycle which detects amenability of tracial states on unital C*-algebras. For an arbitrary trace the construction uses a faithful representation containing the GNS representation as a direct summand. When \(τ\) is faithful, \(H_τ=L^2(A,τ)\), and \(J\) is the ca
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