Mathematics – Group Theory
Scientific paper
2011-10-17
Mathematics
Group Theory
6 pages
Scientific paper
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.
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