@article{Kodaka_2021, title={Strong Morita equivalence for inclusions of $C^*$-algebras induced by twisted actions of a countable discrete group}, volume={127}, url={https://www.mscand.dk/article/view/125997}, DOI={10.7146/math.scand.a-125997}, abstractNote={<p>We consider two twisted actions of a countable discrete group on $\sigma$-unital $C^*$-algebras. Then by taking the reduced crossed products, we get two inclusions of $C^*$-algebras. We suppose that they are strongly Morita equivalent as inclusions of $C^*$-algebras. Also, we suppose that one of the inclusions of $C^*$-algebras is irreducible, that is, the relative commutant of one of the $\sigma$-unital $C^*$-algebra in the multiplier $C^*$-algebra of the reduced twisted crossed product is trivial. We show that the two actions are then strongly Morita equivalent up to some automorphism of the group.</p>}, number={2}, journal={MATHEMATICA SCANDINAVICA}, author={Kodaka, Kazunori}, year={2021}, month={Aug.}, pages={317–336} }