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Index theory for real factors. (English) Zbl 1273.46043
Summary: The notion of the index for arbitrary real factors is introduced and investigated. The main tool in our approach is the reduction of real factors to involutive $$^*$$-antiautomorphisms of their complex enveloping von Neumann algebras. Similarly to the complex case, the values of the index for real factors are calculated.
##### MSC:
 46L36 Classification of factors 46L37 Subfactors and their classification
##### Keywords:
$$W^*$$-algebras; real factor; index of subfactor
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