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Compact Ergodic Groups of Automorphisms
R. Hoegh-Krohn, M. B. Landstad and E. Stormer
Annals of Mathematics
Second Series, Vol. 114, No. 1 (Jul., 1981), pp. 75-86
Published by: Annals of Mathematics
Stable URL: http://www.jstor.org/stable/1971377
Page Count: 12
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It is shown that if G is a compact ergodic group of *-automorphisms on a unital C*-algebra A then the unique G-invariant state is a trace. Hence if A is a von Neumann algebra then it is finite and injective.
Annals of Mathematics © 1981 Annals of Mathematics