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Derivations which are inner as completely bounded maps (CROSBI ID 168143)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Gogić, Ilja
Derivations which are inner as completely bounded maps // Operators and Matrices, 4 (2010), 2; 193-211. doi: 10.7153/oam-04-09
Podaci o odgovornosti
Gogić, Ilja
engleski
Derivations which are inner as completely bounded maps
We consider derivations in the image of the canonical contraction from the Haagerup tensor product of a C*-algebra A with itself to the space of completely bounded maps on A. We show that such derivations are necessarily inner if A is prime or if A is central. We also provide an example of a C*-algebra which has an outer derivation implemented by an elementary operator.
C*-algebra ; ideals ; quasicentral ; central ; derivation ; completely bounded map
Article number 04-09
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