Prove KaplanskyQuasitrace (openai/math family 294: A counterexample to Kaplansky's quasitrace conjecture) in…
Prove KaplanskyQuasitrace (openai/math family 294: A counterexample to Kaplansky's quasitrace conjecture) in…: a task in openai/math as Harbor environments (Harbor dataset). Context: this statement belongs to family 294 of the release, A counterexample to Kaplansky's quasitrace conjecture…
The task
Context: this statement belongs to family 294 of the release, *A counterexample to Kaplansky's quasitrace conjecture* (Operator algebras). The family as a whole: Disproves Kaplansky's quasitrace conjecture by constructing a separable unital complex $C^*$-algebra admitting normalized $2$-quasitraces, all of which are…
Part of raising-heart/openai-math.