On Approximately Finite-Dimensional Von Neuman Algebras, II
Canadian mathematical bulletin, Tome 21 (1978) no. 4, pp. 415-418
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An intrinsic characterization is given of those von Neumann algebras which are injective objects in the category of C*-algebras with completely positive maps. For countably generated von Neumann algebras several such characterizations have been given, so it is in fact enough to observe that an injective von Neumann algebra is generated by an upward directed collection of injective countably generated sub von Neumann algebras. The present work also shows that three of the intrinsic characterizations known in the countably generated case hold in general.
Elliott, George A. On Approximately Finite-Dimensional Von Neuman Algebras, II. Canadian mathematical bulletin, Tome 21 (1978) no. 4, pp. 415-418. doi: 10.4153/CMB-1978-073-1
@article{10_4153_CMB_1978_073_1,
author = {Elliott, George A.},
title = {On {Approximately} {Finite-Dimensional} {Von} {Neuman} {Algebras,} {II}},
journal = {Canadian mathematical bulletin},
pages = {415--418},
year = {1978},
volume = {21},
number = {4},
doi = {10.4153/CMB-1978-073-1},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1978-073-1/}
}
TY - JOUR AU - Elliott, George A. TI - On Approximately Finite-Dimensional Von Neuman Algebras, II JO - Canadian mathematical bulletin PY - 1978 SP - 415 EP - 418 VL - 21 IS - 4 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1978-073-1/ DO - 10.4153/CMB-1978-073-1 ID - 10_4153_CMB_1978_073_1 ER -
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