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arxiv: math/0208084 · v1 · submitted 2002-08-11 · 🧮 math.OA

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

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keywords algebraisomorphicexampleoppositerankrealseparablesimple
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We give an example of a simple separable C*-algebra which 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 the real numbers.

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