1.7 The following result provides a ?rst instance why strongly self-absorbing C algebras play a n imp ortan t role in the classi?ca tion pro gram. Theorem: A sep ar able unital stro ngly self …
2/10/2005 · Given a strongly self-absorbing C*-algebra D we characterise when a separable C*-algebra absorbs D tensorially (i.e.
is D-stable), and prove closure.
Before continuing our analysis of strongly self-absorbing C*-algebras, we recall an important structure result about C*-algebras with approximately inner half flips. In the case where V has approximately inner flip the statement was already observed in [5]. In the form we state below, the result was shown in [21].
2/1/2005 · Given a strongly self-absorbing C*-algebra D we characterise when a separable C*-algebra absorbs D tensorially (i.e.
is D-stable), and prove closure.
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In fact, the classification of separable, simple, unital, nuclear C*-algebras that tensorially absorb the Jiang-Su algebra and satisfy the UCT has been the pinnacle of the classification results. In their original paper from 1999, Jiang and Su already proved that the Jiang-Su algebra is strongly self-absorbing.
Let G be a finite group acting on {1,…,n}. For any C?-algebra A, this defines an action of ? of G on A?n. We show that if A tensorially absorbs a UHF algebra of infinite type, the Jiang-Su algebra, or is approximately divisible, then A×?G has the corresponding property as well.
Strongly self-absorbing C -algebras are automatically simple and nuclear, and they have at most one tracial state. It is shown in [11] that if Dis a strongly self-absorbing C-algebra in the UCT class, then it has the same K-theory as one, We have previously shown that the isomorphism classes of orientable locally trivial fields of C? -algebras over a compact metrizable space X with fiber D?K, where D is a strongly self-absorbing C?-algebra, form an abelian group under the operation of tensor product. Moreover this group is isomorphic to the first group E¯1D(X) of the (reduced) generalized cohomology theory associated to …
2/18/2015 · relative commut ants of strongly self-absorbing c*-algebras 3 Theorem 1 is a consequence of Corollary 2.13, stating that, assuming CH, ? ? ( A ) /c F ( A ) and A ? ? ? ? ( A ) /c F ( A …
