I found myself in the precarious situation of having to open many brackets on one side of the equation which are then closed one by one, as in the following example:
\left( \cdots \left( \left( A_1 \right) * A_2 \right) \cdots \right) * A_n.
The product here is not associative and requires bracketing.
The ellipsis on the left hand side looks ugly to me, too spacious. Is there a more suitable command to do what I'm trying to do here? Would you approach this problem in a different way?

\leftand\right. – egreg Aug 29 '18 at 17:06\cdots, you should probably also consider using something other than*(perhaps\times). – Werner Aug 29 '18 at 17:08A_3, as in( \cdots ( ( ( A_1 ) * A_2 ) * A_3 ) \cdots ) * A_n.. – Steven B. Segletes Aug 29 '18 at 17:08{\cdots}(with the braces)? – egreg Aug 29 '18 at 17:15\cdotsdoesn't meet your needs, then you can adjust it. See What commands are there for horizontal spacing? For example, you can use\!\!\cdots\!\!... – Werner Aug 30 '18 at 18:55\!\!{\cdot}{\cdot}{\cdot}\!\!. – Werner Aug 30 '18 at 20:21