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

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

2002-08-11

arxiv.org/abs/math/0208084v1

Mathematics

Operator Algebras

8 pages, AMSLaTeX

Scientific paper

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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