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Khintchine type inequalities for reduced free products and applications

Khintchine type inequalities for reduced free products and applications

We prove Khintchine type inequalities for words of a fixed length in a reduced free product of C*-algebras (or von Neumann algebras). These inequalities imply that the natural projection from a reduced free product onto the subspace generated by the words of a fixed length d is completely bounded with …