Geodesic
A~function-algebra variant of a~theorem of Bohr--van~Kampen
Sbornik. Mathematics, Tome 11 (1970) no. 2, pp. 233-243

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According to the classical Bohr–von Kampen theorem, if a function on a connected compact group is continuous and has no zeros then it has (to within a character) a continuous logarithm. This theorem can be extended to an arbitrary commutative Banach algebra in whose group of automorphisms a connected compact group is presented. Bibliography: 10 titles. 
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     author = {E. A. Gorin},
     title = {A~function-algebra variant of a~theorem of {Bohr--van~Kampen}},
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     number = {2},
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E. A. Gorin. A~function-algebra variant of a~theorem of Bohr--van~Kampen. Sbornik. Mathematics, Tome 11 (1970) no. 2, pp. 233-243. http://geodesic.mathdoc.fr/item/SM_1970_11_2_a7/