Simple Spectrum for Tensor Products of Mixing Map Powers

V. V. Ryzhikov

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arXiv · 1107.4745

Simple Spectrum for Tensor Products of Mixing Map Powers

V. V. Ryzhikov

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Abstract

We prove the existence of a mixing rank one map $T$ such that the product $T\otimes T^2\otimes T^3\otimes...$ has simple spectrum. This result is used in S.V. Thikhonov's proof of the existence of mixing transformation with homogeneous spectrum of multiplicity $m>2$.

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V. V. Ryzhikov. 2011-07-24. Simple Spectrum for Tensor Products of Mixing Map Powers. https://arxiv.org/abs/1107.4745

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