10/18/2019 · Abstract: We give a shorter proof of the fact that the Jiang-Su algebra is strongly self-absorbing. This is achieved by introducing and studying so-called unitarily suspended endomorphisms of generalized dimension drop algebras.
Jiang{Su algebra Zare strongly self-absorbing. Most classi cation results obtained so far can be interpreted as classi cation up to D-stability, where Dis one of the (few) known strong ly self-absorbing examples (cf. [16]). The classi cation of Kirchberg algebras can thus be viewed as classi cation up to O 1-stability. There is at present, We give a shorter proof of the fact that the Jiang-Su algebra is strongly self-absorbing. This is achieved by introducing and studying so-called unitarily suspended endomorphisms of generalized …
The Jiang-Su algebra is an example of a strongly self-absorbing C?- algebra , i.e.
a unital separable C?- algebra D ? C such that the factor inclusion D?1 D,? D?D is approximately unitarily equivalent to a ?-isomorphism ([19]). Such algebras are automatically simple and amenable.
Known examples of strongly self-absorbing C*-algebras are UHF-algebras of in?nite type, the Jiang-Su algebra Z , the Cuntz algebras O 2 and O 1 , and tensor products of O 1 by UHF algebras, 10/30/2019 · Abstract: We show that the Fraïssé limit of a category of unital separable $C^*$-algebras which is sufficiently closed under tensor products of its objects and morphisms is strongly self-absorbing, given that it has approximate inner half-flip. We use this connection between Fraïssé limits and strongly self-absorbing $C^*$-algebras to give a self-contained and rather elementary proof for the well known fact that the Jiang-Su algebra is strongly .
Dissertation: The Jiang–Su algebra is strongly self-absorbing revisited . Mathematics Subject Classification: 47—Operator theory. Advisor 1: Wilhelm Winter. No students known. If you have additional information or corrections regarding this mathematician, please use the update form.
It is shown that a strongly self-absorbing C-algebra is of real rank zero and ab-sorbs the Jiang-Su algebra if it contains a non-trivial projection. We also con-sider cases where the UCT is automatic for strongly self-absorbing C-algebras, and K-theoretical ways of characterizing when Kirchberg algebras are strongly self-absorbing. 1 Introduction, Indeed, the strongly self-absor bing C * -algebra D tensorially absorbs the Jiang-Su algebra Z ( [Win09]). Hence, this C * -algebra D is K 1 -injective ( [Rør04]) and the C(X)-algebra A satisfies …
2/10/2005 · Abstract: Say that a separable, unital C*- algebra D is strongly self-absorbing if there exists an isomorphism $phi: D to D otimes D$ such that $phi$ and $id_D otimes 1_D$ are approximately unitarily equivalent $*$-homomorphisms. We study this class of algebras, which includes the Cuntz algebras $mathcal{O}_2$, $mathcal{O}_{infty}$, the UHF algebras of infinite type, the Jiang- -Su algebra …
