@article{oai:u-ryukyu.repo.nii.ac.jp:02011107, author = {Kodaka, Kazunori}, issue = {5}, journal = {Rocky Mountain Journal of Mathematics}, month = {}, note = {Let A be a C^∗-algebra and H a finite dimensional C^∗-Hopf algebra with its dual C^∗-Hopf algebra H^0. Let (ρ,u) be a twisted coaction of H^0 on A. We shall define the (ρ,u,H)-equivariant Picard group of A, which is denoted by Pic^<ρ,u>_H(A), and discuss the basic properties of Pic^<ρ,u>_H(A). Also, we suppose that (ρ,u) is the coaction of H^0 on the unital C^∗-algebra A, that is, u=1⊗1^0. We investigate the relation between Pic(A^s), the ordinary Picard group of A^s, and Pic^<ρ^s>_H(A^s), where A^s is the stable C^∗-alge\-bra of A and ρ^s is the coaction of H^0 on A^s induced by ρ. Furthermore, we shall show that Pic^<ρ^^^>_H^0(A⋊_<ρ,u>H) is isomorphic to Pic^<ρ,u>_H(A), where ρ^^ˆ is the dual coaction of H on the twisted crossed product A⋊_<ρ,u>H of A by the twisted coaction (ρ,u) of H^0 on A., 論文}, pages = {1565--1615}, title = {EQUIVARIANT PICARD GROUPS OF C^*-ALGEBRAS WITH FINITE DIMENSIONAL C^*-HOPF ALGEBRA COACTIONS}, volume = {47}, year = {2017} }