Finite von Neumann algebras and masas
A thorough account of the methods that underlie the theory of subalgebras of finite von Neumann algebras, this book contains a substantial amount of current research material and is ideal for those studying operator algebras. The conditional expectation, basic construction and perturbations within a...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2008
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| Schriftenreihe: | London Mathematical Society lecture note series
351 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 URL des Erstveröffentlichers |
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Inhaltsangabe:
- General introduction
- Masas in B(H)
- Finite von Neumann algebras
- The basic construction
- Projections and partial isometries
- Normalisers, orthogonality, and distances
- The Pukanszky invariant
- Operators in L
- Perturbations
- General perturbations
- Singular masas
- Existence of special masas
- Irreducible hyperfinite subfactors
- Maximal injective subalgebras
- Masas in non-separable factors
- Singly generated II1 factors
- Appendix A. The ultrapower and property GAMMA
- Appendix B. Unbounded operators
- Appendix C
- The trace revisited
- Index