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One-parameter automorphism groups of operator algebras allowing spectral projections
Published online by Cambridge University Press: 19 September 2008
Abstract
The property of a one-parameter C*- (or W*-) dynamical system that the spectral subspaces corresponding to the three subsets (−∞, 0), {0}, and (0, +∞) add up to the whole algebra is reformulated. If the C*-algebra is prime (or the W*-algebra is a factor), an equivalent property is that the spectrum is finite.
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- Copyright © Cambridge University Press 1984