Capital K as operator like \sum

Dear All, 

Gauss introduced the capital Greek letter K to denote continued fractions (“Kettenbruch”), using it like Sigma in \sum and Pi in \prod. 
Is there a way to add the K as an operator so that it scales and behaves like \sum and \prod?

I have tried the MNWE


\definemathsymbol[kb][operator]["039A] % capital Greek Kappa
\starttext
\startformula
\kb_{i=1}^\infty\frac{a_i}{b_i} \ne \sum_{i=1}^\infty \frac1{2^i}
\stopformula
\stoptext


But that obviously doesn't look good.

Thanks,

Matthias
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