Semiprojectivity for Certain Purely Infinite C-algebras
نویسندگان
چکیده
It is proved that classifiable simple separable nuclear purely infinite C∗algebras having finitely generated K-theory and torsion-free K1 are semiprojective. This is accomplished by exhibiting these algebras as C∗-algebras of infinite directed graphs.
منابع مشابه
Weak Semiprojectivity for Purely Infinite C-algebras
The first definition of semiprojectivity for C-algebras was given by Effros and Kaminker in the context of noncommutative shape theory ([3]). A more restrictive definition was given by Blackadar in [1]. Loring introduced a third definition, which he termed weak semiprojectivity, in his investigations of stability problems for C-algebras defined by generators and relations ([9]). Recently Neubüs...
متن کاملA Rohlin Type Theorem for Automorphisms of Certain Purely Infinite C∗-Algebras
We show a noncommutative Rohlin type theorem for automorphisms of a certain class of purely infinite simple C∗-algebras. This class consists of the purely infinite unital simple C∗-algebras which are in the bootstrap category N and have trivial K1-groups.
متن کاملPurely Infinite, Simple C-algebras Arising from Free Product Constructions, Ii
Certain reduced free products of C∗–algebras with respect to faithful states are simple and purely infinite.
متن کاملPurely Infinite Simple C-algebras Arising from Free Product Constructions
Examples of simple, separable, unital, purely infinite C–algebras are constructed, including: (1) some that are not approximately divisible; (2) those that arise as crossed products of any of a certain class of C∗–algebras by any of a certain class of non–unital endomorphisms; (3) those that arise as reduced free products of pairs of C–algebras with respect to any from a certain class of states...
متن کاملAF-embeddability of crossed products of Cuntz algebras
We investigate crossed products of Cuntz algebras by quasi-free actions of abelian groups. We prove that our algebras are AF-embeddable when actions satisfy a certain condition. We also give a necessary and sufficient condition that our algebras become simple and purely infinite, and consequently our algebras are either purely infinite or AF-embeddable when they are simple.
متن کامل