A note on fixed points of completely positive maps

Details A note on fixed points of completely positive maps A note on fixed points of completely positive maps

2003-08-06

arxiv.org/abs/math/0308053v1

Mathematics

Operator Algebras

Scientific paper

It is shown that a fixed point of a completely positive map on a semi-finite
von Neumann algebra must commute with the operators determining the map (the
Lueders phenomenon) if the element is finite or has finite square.

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