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
Spectral flow, eta invariants, and von Neumann algebras
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- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 741 KB
- Volume
- 109
- Category
- Article
- ISSN
- 0022-1236
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Let (M, 1 ) be a Hopf von Neumann algebra. The operator predual M \* of M is a completely contractive Banach algebra with multiplication m=1 \* : M \* M \* Γ M \* . We call (M, 1 ) operator amenable if the completely contractive Banach algebra M \* is operator amenable, i.e., for every operator M \*
## Abstract In this paper, we consider a generalization of property T of Kazhdan for groups and property T of Connes for von Neumann algebras. We introduce another relative property T for groups corresponding to coβrigidity for von Neumann algebras, which is different from relative property T of Ma
Contents. 0. Introduction. 1. The bundle algebra A. 2. Representation of the bundle algebra A. 3. The dual action and the trace. 4. The local characteristic square extended unitary group and modular automorphism group. 5. Conclusions.