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The $$L^2$$-index theorem for homogeneous spaces of Lie groups. (English) Zbl 0515.58031

##### MSC:
 58J40 Pseudodifferential and Fourier integral operators on manifolds 58J70 Invariance and symmetry properties for PDEs on manifolds 55N15 Topological $$K$$-theory 58J20 Index theory and related fixed-point theorems on manifolds
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