OAI/Topology/CoarseAssembly/FredholmModule.lean

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Odd analytic Fredholm modules

These are the actual operator cycles for KK₁(A, ℂ): a separable Hilbert space, a star representation of A, and an operator whose commutator, self-adjointness defect and square defect are locally compact. We keep degenerate cycles, unitary equivalence, direct sum and norm homotopy explicit so that the analytic group can be formed as a quotient, rather than supplied as an arbitrary abelian group.

  1. theorem OAI.CoarseAssembly.Analytic.OddCycle.Degenerate.precomp line 36
  2. theorem OAI.CoarseAssembly.Analytic.OddCycle.precomp_id line 40
  3. theorem OAI.CoarseAssembly.Analytic.OddCycle.precomp_comp line 43
  4. theorem OAI.CoarseAssembly.Analytic.OddHomotopy.precomp_eval line 51