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A solution to Haagerup's Problem on decomposable maps
Abstract
We prove that a von Neumann algebra N is injective if and only if |T|dec=|T|cb for every linear map T:ℓ∞3to N, answering a problem of Haagerup (1985).
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BibTeX
@misc{okayasu2026solution,
title = {{A solution to Haagerup's Problem on decomposable maps}},
author = {Rui Okayasu},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.41746},
eprint = {2610.41746},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.41746},
}
RIS
TY - UNPB
TI - A solution to Haagerup's Problem on decomposable maps
AU - Rui Okayasu
PY - 2026
DA - 2026/10/30
PB - arXiv
DO - 10.48550/arxiv.2610.41746
UR - https://arxiv.org/abs/2610.41746
AB - We prove that a von Neumann algebra N is injective if and only if |T|_dec=|T|_cb for every linear map T:ℓ^∞_3to N, answering a problem of Haagerup (1985).
ER -