Derivations of $C^*$-algebras which are not determined by multipliers in any quotient algebra
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- by Jun Tomiyama PDF
- Proc. Amer. Math. Soc. 47 (1975), 265-267 Request permission
Abstract:
An example is given to show that, in a ${C^ \ast }$-algebra without unit, a derivation is not necessarily determined by a multiplier in some quotient algebra.References
- Charles A. Akemann, Gert K. Pedersen, and Jun Tomiyama, Multipliers of $C^*$-algebras, J. Functional Analysis 13 (1973), 277–301. MR 0470685, DOI 10.1016/0022-1236(73)90036-0
- Charles A. Akemann, George A. Elliott, Gert K. Pedersen, and Jun Tomiyama, Derivations and multipliers of $C^*$-algebras, Amer. J. Math. 98 (1976), no. 3, 679–708. MR 425625, DOI 10.2307/2373812
- H. Behncke, F. Krauß, and H. Leptin, $C^*$-Algebren mit geordneten Ideal Folgen, J. Functional Analysis 10 (1972), 204–211 (German). MR 0341107, DOI 10.1016/0022-1236(72)90049-3
- Shôichirô Sakai, Derivations of simple $C^{\ast }$-algebras, J. Functional Analysis 2 (1968), 202–206. MR 0223906, DOI 10.1016/0022-1236(68)90017-7
Additional Information
- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 47 (1975), 265-267
- DOI: https://doi.org/10.1090/S0002-9939-1975-0355623-0
- MathSciNet review: 0355623