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On compact group extension of Bernoulli shifts

Published online by Cambridge University Press:  17 April 2009

Youngho Ahn
Youngho Ahn
Affiliation:
Korea Advanced Institute of Science and Technology, Taejon 305-701, Korea, e-mail: ahn@euclid.kaist.ac.kr
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Abstract

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Let ρ : G →  (H) be an irreducible unitary representation of a compact group G where  (H) is a set of unitary operators of finite dimensional Hilbert space H. For the (p1, …, PL)-Bernoulli shift, the solvability of ρ(φ(x)) g (Tx) = g (x) is investigated, where φ(x) is a step function.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 61 , Issue 2 , April 2000 , pp. 277 - 288
Copyright
Copyright © Australian Mathematical Society 2000

References

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