  In this paper, we study a family of $C^*$-subalgebras defined by fixed points
of generalized gauge actions of a Cuntz-Krieger algebra, by introducing a
family of \'etale groupoids whose associated $C^*$-algebras are these
$C^*$-subalgebras. We know that topological conjugacy classes of one-sided
topological Markov shifts are characterized in terms of the isomorphism classes
of these \'etale groupoids.
