Journal of the Australian Mathematical Society Series A Pure Mathematics and Statistics · 1989 · 183 citations · 7 references
Natural SciencesMathematicsAlgebraGeometryTopologyAbstract AlgebraAlgebraic TopologyLie AlgebrasAlgebraic K-theoryOperator AlgebrasPrincipal Bundles
Abstract Using various facts about principal bundles over a space, we give a unified treatment of several theorems about the structure of stable separable continuous-trace algebras, their automorphisms, and their K -theory. We also present a classification of real continuous-trace algebras from the same point of view.
7
Equivariant $K$-theory and completion
Michael Atiyah, Graeme Segal · Journal of Differential Geometry · 1969 · 430 citations · Full text
The homotopy type of the unitary group of Hilbert space
Nicolaas H. Kuiper · Topology · 1965 · 409 citations
Jonathan Rosenberg · Publications mathématiques de l IHÉS · 1983 · 276 citations
Charles A. Akemann, Gert K. Pedersen, Jun Tomiyama · Journal of Functional Analysis · 1973 · 198 citations
C∗-algebras, positive scalar curvature, and the novikov conjecture—III
Jonathan Rosenberg · Topology · 1986 · 107 citations