OAI/Topology/CoarseAssembly/Conjugation.lean

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5 declarations, 0 contain sorry, 0 declared as axioms

Conjugation by an isometry

The spatial operator homomorphism and exact boundary factorization used in §§5--6 of the coarse Novikov manuscript. Restriction of this homomorphism to the Roe algebras is a separate range-membership obligation.

  1. theorem OAI.CoarseAssembly.adjoint_apply_isometry line 21
  2. theorem OAI.CoarseAssembly.operatorConjugation_mul line 26
  3. theorem OAI.CoarseAssembly.operatorConjugation_injective line 31
  4. theorem OAI.CoarseAssembly.operatorConjugation_star line 38
  5. theorem OAI.CoarseAssembly.operatorConjugation_comp line 43