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Induced $C^*$-complexes in metaplectic geometry. (arXiv:1711.09937v2 [math.AT] UPDATED)
来源于:arXiv
For a symplectic manifold admitting a metaplectic structure and for a Kuiper
map, we construct a complex of differential operators acting on exterior
differential forms with values in the dual of the Kostant's symplectic spinor
bundle. Defining a Hilbert $C^*$-structure on this bundle for a suitable
$C^*$-algebra, we obtain an elliptic $C^*$-complex in the sense of
Mishchenko--Fomenko. Its cohomology groups appear to be finitely generated
projective Hilbert $C^*$-modules. 查看全文>>