A simple separable exact C*-algebra not anti-isomorphic to itself

作者:Phillips N Christopher; Viola Maria Grazia*
来源:Mathematische Annalen, 2013, 355(2): 783-799.
DOI:10.1007/s00208-011-0755-z

摘要

We give an example of an exact, stably finite, simple, separable C*-algebra D which is not isomorphic to its opposite algebra. Moreover, D has the following additional properties. It is stably finite, approximately divisible, has real rank zero and stable rank one, has a unique tracial state, and the order on projections over D is determined by traces. It also absorbs the Jiang-Su algebra Z, and in fact absorbs the 3(a) UHF algebra. We can also explicitly compute the K-theory of D, namely with the standard order, and K (1) (D) = 0, as well as the Cuntz semigroup of D, namely.

  • 出版日期2013-2

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