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arXiv · 1808.04903

Noncommutative Bialynicki-Birula Theorem

Andrey Elishev·Alexei Kanel-Belov·Farrokh Razavinia·Jie-Tai Yu·Wenchao Zhang
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Abstract

In this short note we prove that every maximal torus action on the free algebra is conjugate to a linear action. This statement is the free algebra analogue of a classical theorem of A. Bia{\l}ynicki-Birula.

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Andrey Elishev, Alexei Kanel-Belov, Farrokh Razavinia, Jie-Tai Yu, Wenchao Zhang. 2018-08-14. Noncommutative Bialynicki-Birula Theorem. https://doi.org/10.22405/2226-8383-2020-21-1-51-61

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