Projections from a von~Neumann algebra onto a subalgebra

Details Projections from a von~Neumann algebra onto a subalgebra Projections from a von~Neumann algebra onto a subalgebra

1993-02-18

arxiv.org/abs/math/9302215v1

Mathematics

Functional Analysis

Scientific paper

This paper is mainly devoted to the following question:\ Let $M,N$ be von~Neumann algebras with $M\subset N$, if there is a completely bounded projection $P\colon \ N\to M$, is there automatically a contractive projection $\widetilde P\colon \ N\to M$? We give an affirmative answer with the only restriction that $M$ is assumed semi-finite.

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