OAI/Analysis/KadisonSimilarity/FreeProduct/SmallFreeCornerTransport.lean

GitHub source file

3 declarations, 0 contain sorry, 0 declared as axioms

The entire small-corner construction is transported together through the chosen free-position embedding, so the Haar unitary and reflection retain the same support projection as the matrix frame.

  1. def OAI.KadisonSimilarity.MatrixUnitColumnFamily.map line 16
  2. def OAI.KadisonSimilarity.TracialMatrixUnitColumnFamily.map line 32
  3. def OAI.KadisonSimilarity.SmallFreeCornerData.transport line 41

    Source documentation

    A single embedding carries every piece of the small-corner data, with the original numerical cutoff unchanged.

    def SmallFreeCornerData.transport (Q : SmallFreeCornerData τA s) :
        SmallFreeCornerData τB s where
    …

    Mentions: OAI.KadisonSimilarity.SmallFreeCornerData