OpenAI reports Dixmier’s unitarizability equivalence
- Mathematics
A discrete group is amenable if and only if every uniformly bounded representation of it on a complex Hilbert space is similar to a unitary representation.
OpenAI reports Dixmier’s unitarizability equivalence
- Mathematics
A discrete group is amenable if and only if every uniformly bounded representation of it on a complex Hilbert space is similar to a unitary representation.
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Understand the problem ↓Understanding the problem
Read the background
A discrete group is amenable if and only if every uniformly bounded representation of it on a complex Hilbert space is similar to a unitary representation.
Why it matters
If correct, resolves Dixmier’s unitarizability problem for all discrete groups.
What counts as progress
Must every unitarizable discrete group be amenable?
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