  Given a variety with a finite group action, we compare its equivariant
categorical measure, that is, the categorical measure of the corresponding
quotient stack, and the categorical measure of the extended quotient. Using
weak factorization for orbifolds, we show that for a wide range of cases, these
two measures coincide. This implies, in particular, a conjecture of Galkin and
Shinder on categorical and motivic zeta-functions of varieties. We provide
examples showing that, in general, these two measures are not equal. We also
give an example related to a conjecture of Polishchuk and Van den Bergh,
showing that a certain condition in this conjecture is indeed necessary.
