It is proved that any power-bounded operator of class C 1, } in a finite von Neumann algebra is conjugate to a unitary. This solves a conjecture stated by I. Kovacs in 1970. An important ingredient of the proof is the study of completely positive projections on some operator space.
Convex combinations of unitary operators in von Neumann algebras
โ Scribed by Catherine L Olsen; Gert K Pedersen
- Publisher
- Elsevier Science
- Year
- 1986
- Tongue
- English
- Weight
- 736 KB
- Volume
- 66
- Category
- Article
- ISSN
- 0022-1236
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this paper we define and study certain von Neumann algebra invariants associated to the Dirac operator acting on L 2 spinors on the universal covering space of a compact, Riemannian spin manifold. We first study a Novikov Shubin type invariant, which is a conformal invariant but which is not inde
Suppose b 1 , ..., b n are self-adjoint elements in a finite von Neumann algebra M with trace { and define a map 9 from M to complex (n+1)-space by the formula 9(x)=({(x), {(b 1 x), ..., {(b n x)). Next let B denote the image of the positive unit ball of M under the map 9. B is called the spectral s