Analysis over C*-algebras and the oscillatory representation

Abstract

Theorems on cohomology of complexes of Hilbert C8 bundles are presented and application for the Segal-Shale-Weil bundle over a symplectic manifold admitting a metaplectic structure are given.

Keywords

• Hodge theory
• Hilbert bundles
• Segal-Shale-Weil representation
• oscilltory representation