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