Geodesic
On Approximately Finite-Dimensional Von Neuman Algebras, II
Canadian mathematical bulletin, Tome 21 (1978) no. 4, pp. 415-418

Voir la notice de l'article provenant de la source Cambridge University Press

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  - 
%0 Journal Article
%A Elliott, George A.
%T On Approximately Finite-Dimensional Von Neuman Algebras, II
%J Canadian mathematical bulletin
%D 1978
%P 415-418
%V 21
%N 4
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-1978-073-1/
%R 10.4153/CMB-1978-073-1
%F 10_4153_CMB_1978_073_1

[1] 1. Connes, A., On hyperfinite factors of type III and Krieger's factors, J. Functional Analysis 18 (1975), 318-327. Google Scholar

[2] 2. Connes, A., Classification of injective factors, Ann. of Math. 104 (1976), 73-115. Google Scholar

[3] 3. Connes, A., On the cohomology of operator algebras, J. Functional Analysis 28 (1978), 248-253. Google Scholar

[4] 4. Elliott, G. A., On approximately finite-dimensional von Neumann algebras, Math. Scand. 39 (1976), 91-101. Google Scholar

[5] 5. Elliott, G. A. and Woods, E. J., The equivalence of various definitions for a properly infinite von Neumann algebra to be approximately finite-dimensional, Proc. Amer. Math. Soc. 60 (1976), 175-178. Google Scholar

[6] 6. Takesaki, M., Duality for crossed products and the structure of von Neumann algebras of type III, Acta Math. 131 (1973), 249-310. Google Scholar

[7] 7. Tomiyama, J., Tensor products and projections of norm one in von Neumann algebras, lecture notes, University of Copenhagen, 1970. Google Scholar

[8] 8. Willig, P., On hyperfinite W*-algebras, Proc. Amer. Math. Soc. 40 (1973), 120-122. Google Scholar

Cité par Sources :