A simple separable C*-algebra not isomorphic to its opposite algebra

Phillips, N.

doi:10.1090/S0002-9939-04-07330-7

A simple separable C*-algebra not isomorphic to its opposite algebra
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Proc. Amer. Math. Soc. 132 (2004), 2997-3005 Request permission

Abstract:

We give an example of a simple separable C*-algebra that is not isomorphic to its opposite algebra. Our example is nonnuclear and stably finite, has real rank zero and stable rank one, and has a unique tracial state. It has trivial $K_1$, and its $K_0$-group is order isomorphic to a countable subgroup of ${\mathbf R}$.

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