Von Neumann algebras as complemented subspaces of B(H)

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Standard

Von Neumann algebras as complemented subspaces of B(H). / Christensen, Erik; Wang, Liguang.

I: International Journal of Mathematics, Bind 25, 1450107, 2014.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Christensen, E & Wang, L 2014, 'Von Neumann algebras as complemented subspaces of B(H)', International Journal of Mathematics, bind 25, 1450107. https://doi.org/10.1142/S0129167X14501079

APA

Christensen, E., & Wang, L. (2014). Von Neumann algebras as complemented subspaces of B(H). International Journal of Mathematics, 25, [1450107]. https://doi.org/10.1142/S0129167X14501079

Vancouver

Christensen E, Wang L. Von Neumann algebras as complemented subspaces of B(H). International Journal of Mathematics. 2014;25. 1450107. https://doi.org/10.1142/S0129167X14501079

Author

Christensen, Erik ; Wang, Liguang. / Von Neumann algebras as complemented subspaces of B(H). I: International Journal of Mathematics. 2014 ; Bind 25.

Bibtex

@article{8c990fe00ae84189b46cc5c39e558db1,
title = "Von Neumann algebras as complemented subspaces of B(H)",
abstract = "Let M be a von Neumann algebra of type II1 which is also a complemented subspace of B( H). We establish an algebraic criterion, which ensures that M is an injective von Neumann algebra. As a corollary we show that if M is a complemented factor of type II1 on a Hilbert space H, then M is injective if its fundamental group is nontrivial.",
author = "Erik Christensen and Liguang Wang",
year = "2014",
doi = "10.1142/S0129167X14501079",
language = "English",
volume = "25",
journal = "International Journal of Mathematics",
issn = "0129-167X",
publisher = "World Scientific Publishing Co. Pte. Ltd.",

}

RIS

TY - JOUR

T1 - Von Neumann algebras as complemented subspaces of B(H)

AU - Christensen, Erik

AU - Wang, Liguang

PY - 2014

Y1 - 2014

N2 - Let M be a von Neumann algebra of type II1 which is also a complemented subspace of B( H). We establish an algebraic criterion, which ensures that M is an injective von Neumann algebra. As a corollary we show that if M is a complemented factor of type II1 on a Hilbert space H, then M is injective if its fundamental group is nontrivial.

AB - Let M be a von Neumann algebra of type II1 which is also a complemented subspace of B( H). We establish an algebraic criterion, which ensures that M is an injective von Neumann algebra. As a corollary we show that if M is a complemented factor of type II1 on a Hilbert space H, then M is injective if its fundamental group is nontrivial.

U2 - 10.1142/S0129167X14501079

DO - 10.1142/S0129167X14501079

M3 - Journal article

VL - 25

JO - International Journal of Mathematics

JF - International Journal of Mathematics

SN - 0129-167X

M1 - 1450107

ER -

ID: 137423005