In this note we discuss various extensions of a normal * derivation of a uniformly hyperfinite C*-algebra. Various approximation theorems are employed to show when said extensions generate automorphism groups of the C*-algebra. We characterize the "maximal" extension of Sakai and Powers as a graph limit and show when this extension is the closure of the given derivation. We also discuss an identity obeyed by the resolvent of a derivation.
|Original language||English (US)|
|Number of pages||6|
|Journal||Journal of Functional Analysis|
|State||Published - Nov 1975|
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