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$C^*$-extreme contractive completely positive maps

math.OA · 2024-12-06 · accept · novelty 7.0

For finite-dimensional Hilbert spaces, the C*-extreme points of contractive completely positive maps are exactly the P-C*-extreme points for projections P, giving a complete nested-direct-sum structure.

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  • $C^*$-extreme contractive completely positive maps math.OA · 2024-12-06 · accept · none · ref 8

    For finite-dimensional Hilbert spaces, the C*-extreme points of contractive completely positive maps are exactly the P-C*-extreme points for projections P, giving a complete nested-direct-sum structure.