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One-parameter automorphism groups of operator algebras allowing spectral projections

Published online by Cambridge University Press:  19 September 2008

George A. Elliott  and
László Zsidó
George A. Elliott
Affiliation:
Mathematics Institute, Universitetsparken 5, DK-2100 Copenhagen Ø, Denmark;
László Zsidó
Affiliation:
Mathematisches Institut A, Pfaffenwaldring 57, D-7000 Stuttgart 80, West Germany
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Abstract

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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.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 4 , Issue 2 , June 1984 , pp. 187 - 212
Copyright
Copyright © Cambridge University Press 1984

References

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