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Smooth derivations on abelian C*-dynamical systems
Published online by Cambridge University Press: 09 April 2009
Abstract
Let (A, R, σ) be an abelian C*-dynamical system. Denote the generator of σ by δ0 and define A∞ = ∩n>1D (δ0n). Further define the Lipschitz algebra .
If δ is a *-derivation from A∞ into A½, then it follows that δ is closable, and its closure generates a strongly continuous one-parameter group of *-automorphisms of A. Related results for local dissipations are also discussed.
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- Copyright © Australian Mathematical Society 1987
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