OAI/Topology/CoarseAssembly/FredholmModule.lean
4 declarations, 0 contain sorry, 0 declared as axioms
Odd analytic Fredholm modules
These are the actual operator cycles for KKâ(A, â): 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.
- theorem
OAI.CoarseAssembly.Analytic.OddCycle.Degenerate.precompline 36 - theorem
OAI.CoarseAssembly.Analytic.OddCycle.precomp_idline 40 - theorem
OAI.CoarseAssembly.Analytic.OddCycle.precomp_compline 43 - theorem
OAI.CoarseAssembly.Analytic.OddHomotopy.precomp_evalline 51