There is a separable unital complex C∗-algebra with normalized 2-quasitraces but no tracial state; its quasitraces fail additivity on a fixed pair of positive contractions.
There is a separable unital complex C∗-algebra with normalized 2-quasitraces but no tracial state; its quasitraces fail additivity on a fixed pair of positive contractions.
There is a separable unital complex C∗-algebra with normalized 2-quasitraces but no tracial state; its quasitraces fail additivity on a fixed pair of positive contractions.
If correct, refutes Kaplansky’s quasitrace conjecture and overturns a proposed general identification of quasitraces with traces.
Must every 2-quasitrace on a C∗-algebra be a trace?
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OpenAI reports a counterexample to Kaplansky’s quasitrace conjecture
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