Mathematics – Operator Algebras
Scientific paper
2006-08-09
Mathematics
Operator Algebras
The revision (2006/08/16) includes a comment that our generalization of Haagerup's inequality can, in fact, be obtained from R
Scientific paper
A notion of unique ergodicity relative to the fixed-point subalgebra is defined for automorphisms of unital C*-algebras. It is proved that the free shift on any reduced amalgamated free product C*-algebra is uniquely ergodic relative to its fixed-point subalgebra, as are autormorphisms of reduced group C*-algebras arising from certain automorphisms of groups. A generalization of Haagerup's inequality, yielding bounds on the norms of certain elements in reduced amalgamated free product C*-algebras, is proved.
Abadie Beatriz
Dykema Ken
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