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Smooth derivations on abelian C*-dynamical systems

Part of: Selfadjoint operator algebras

Published online by Cambridge University Press:  09 April 2009

Derek W. Robinson
Derek W. Robinson
Affiliation:
Department of Mathematics, Institute of Advanced StudiesAustralian National University Canberra, Australia
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Abstract

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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.

MSC classification

Secondary: 46L05: General theory of $C^*$-algebras
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 42 , Issue 2 , April 1987 , pp. 247 - 264
Copyright
Copyright © Australian Mathematical Society 1987

References

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