Dual pairs of quantum spaces (Q1922504)

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scientific article; zbMATH DE number 922367
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Dual pairs of quantum spaces
scientific article; zbMATH DE number 922367

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    Dual pairs of quantum spaces (English)
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    2 April 1997
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    The author studies the structure corresponding to the algebraic condition in Alain Connes' definition of Poincaré duality. He shows that the arrow \(\Omega (A'\otimes A'') \to \Omega_D (A'\otimes A'')\) transits through \(\Omega(A') \widehat \otimes \Omega(A'')\), a fact which sheds light on the algebraic aspects of noncommutative Poincaré duality and makes (by the author) natural the definition of biconnection.
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    noncommutative Poincaré duality
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    biconnection
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