Hoelder continuous homomorphisms between infinite-dimensional Lie groups are smooth

Mathematics – Group Theory

Scientific paper

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22 pages; v2: minor improvements; proof of Lemma 3.4 corrected to avoid problem with alpha=1/2

Scientific paper

It is an open problem whether every continuous homomorphism between
infinite-dimensional Lie groups is smooth. In this article, we show that every
Hoelder continuous homomorphism is smooth.

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