Geodesic
The Problem of Zero Divisors in Convolution Algebras of Supersolvable Lie Groups
Journal of Lie theory, Tome 23 (2013) no. 1, pp. 119-125.

Voir la notice de l'article provenant de la source Heldermann Verlag

We prove a variant of the Titchmarsh convolution theorem for simply connected supersolvable Lie groups, namely we show that the convolution algebras of compactly supported continuous functions and compactly supported finite measures on such groups do not contain zero divisors. This can be also viewed as a topological version of the zero divisor conjecture of Kaplansky.
Classification : 22A25, 43A10
Mots-clés : Convolution, convolution algebra, zero divisor, compactly supported measure 
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     title = {The {Problem} of {Zero} {Divisors} in {Convolution} {Algebras} of {Supersolvable} {Lie} {Groups}},
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     year = {2013},
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L. Garncarek . The Problem of Zero Divisors in Convolution Algebras of Supersolvable Lie Groups. Journal of Lie theory, Tome 23 (2013) no. 1, pp. 119-125. http://geodesic.mathdoc.fr/item/JLT_2013_23_1_JLT_2013_23_1_a5/