Quasitraces Need Not Be Traces
نویسندگان
چکیده
We prove the title, establishing the existence of a quasitrace on a (unital, simple) C-algebra (of real rank zero and stable rank one), which is not a tracial state.
منابع مشابه
On the Cones of Lower Semicontinuous Traces and 2-quasitraces of a C*-algebra
The basic properties of the cones of lower semicontinuous traces and 2-quasitraces are studied. These properties include: compactness and Hausdorffness of the given cone, continuity of the corresponding functor, and a suitable notion of dual space. These results are applied to the study of the Cuntz semigroup of some classes of C*-algebras. It is shown that if a C*-algebra absorbs the Jiang-Su ...
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