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arxiv: 1712.00628 · v1 · pith:4ASHICUXnew · submitted 2017-12-02 · 🧮 math.FA

Module cohomological properties of the Fourier algebra of an inverse semigroup

classification 🧮 math.FA
keywords modulealgebraamenablefourierinverseoperatorsemigroupbiflat
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For an inverse semigroup S with the set of idempotents E and a minimal idempotent, we find necessary and sufficient conditions for the Fourier algebra A(S) to be module amenable, module character amenable, module (operator) biflat, or module (operator) biprojective.

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