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ON ITERATED POWERS OF POSITIVE DEFINITE FUNCTIONS
Published online by Cambridge University Press: 16 June 2015
Abstract
We prove that if ${\it\rho}$ is an irreducible positive definite function in the Fourier–Stieltjes algebra $B(G)$ of a locally compact group $G$ with $\Vert {\it\rho}\Vert _{B(G)}=1$, then the iterated powers $({\it\rho}^{n})$ as a sequence of unital completely positive maps on the group $C^{\ast }$-algebra converge to zero in the strong operator topology.
MSC classification
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 92 , Issue 3 , December 2015 , pp. 440 - 443
- Copyright
- © 2015 Australian Mathematical Publishing Association Inc.