Defines analytic index for Clifford anti-linear, skew-adjoint, self-adjoint and odd Fredholm operators on real Hilbert C*-modules and proves a real Robbin-Salamon theorem linking spectral flow to Fredholm index via Van Daele K-theory.
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Analytic index theory and spectral flow in real Hilbert $C^*$-modules
Defines analytic index for Clifford anti-linear, skew-adjoint, self-adjoint and odd Fredholm operators on real Hilbert C*-modules and proves a real Robbin-Salamon theorem linking spectral flow to Fredholm index via Van Daele K-theory.