Lifting fixed points of completely positive mappings |
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| Authors: | Bebe Prunaru |
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| Institution: | Institute of Mathematics “Simion Stoilow” of the Romanian Academy, PO Box 1-764, RO-014700 Bucharest, Romania |
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| Abstract: | Let 1?n?∞, and let  be a row contraction on some Hilbert space H. Let F(T) be the space of all X∈B(H) such that  . We show that, if non-zero, this space is completely isometric to the commutant of the Cuntz part of the minimal isometric dilation of  . |
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| Keywords: | Row contraction Isometric dilation Cuntz algebra Non-commutative Poisson boundary |
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