Abstract
We describe the structure of (finite-index) inclusion of type III factors based on analysis of involved flows of weights. Roughly speaking, a type HI index theory splits into a "purely type III" index theory and an (essentially) type II index theory. The factor flows constructed in [1] serve as the complete invariant for the former in the AFD case while the latter can be analyzed by paragroups or quantized groups (as announced in [7]). Therefore, classification of subfactors in an AFD type III factor reduces to classification of factor flows and an "equivariant" paragroup theory.
Keywords
Equivariant mapIndex (typography)MathematicsType (biology)Factor (programming language)Invariant (physics)Pure mathematicsMathematical physicsComputer scienceGeology
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Publication Info
- Year
- 1991
- Type
- book-chapter
- Pages
- 227-231
- Citations
- 3
- Access
- Closed
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Cite This
Hideki Kosaki
(1991).
Index Theory for Type III Factors.
Birkhäuser Boston eBooks
, 227-231.
https://doi.org/10.1007/978-1-4612-0453-4_11
Identifiers
- DOI
- 10.1007/978-1-4612-0453-4_11