A classification of finite simple amenable Z-stable C*-algebras, II, --C*-algebras with rational generalized tracial rank one · arXivDesk
1909.13382Sep 29, 2019This is a publication version of the last part of the original preprint (A classification of finite simple amenable Z-stable C*-algebras, arXiv:1501.00135). Appeared in C. R. Math. Acad. Sci. Soc. R. Canada
A classification of finite simple amenable Z-stable C*-algebras, II, --C*-algebras with rational generalized tracial rank one
A classification theorem is obtained for a class of unital simple separable amenable Z-stable C*-algebras which exhausts all possible values of the Elliott invariant for unital stably finite simple separable amenable Z-stable C*-algebras. Moreover, it contains all unital simple separable amenable C*-algebras which satisfy the UCT and have finite rational tracial rank