The Unitary Group In Its Strong Topology

Abstract

The unitary group $\mathrm{U}(\mathcal{H})$ on an infinite dimensional complex Hilbert space $\mathcal{H}$ in its strong topology is a topological group and has some further nice properties, e.g. it is metrizable and contractible if $\mathcal{H}$ is separable. As an application Hilbert bundles are classified by homotopy.

8 pages

Cited by in corpus (3)

• On the K-theoretic classification of dynamically stable systems
• Finite higher spin transformations from exponentiation
• Smooth Fock bundles, and spinor bundles on loop space