Unbounded derivations |
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| Authors: | Richard H Herman |
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| Institution: | Department of Mathematics, Pennsylvania State University, University Park, Pennsylvania 16802 U.S.A. |
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| Abstract: | In this note we discuss various extensions of a normal 1 derivation of a uniformly hyperfinite C1-algebra. Various approximation theorems are employed to show when said extensions generate automorphism groups of the C1-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. |
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