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Classification of Strongly Amenable Subfactors of TypeIII0

✍ Scribed by Carl Winsløw

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 392 KB
Volume: 148
Category: Article
ISSN: 0022-1236
DOI: 10.1006/jfan.1997.3095

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✦ Synopsis

We define strong amenability for subfactors of type III 0 as a special case of a general strong amenability type property (called strong injectivity) for subfactors. Using the ``relative'' flow of weights for subfactors, we then give a complete classification of strongly amenable subfactors of type III 0 .

1997 Academic Press [3], in fact the general case is solved by combining Connes' argument with Popa's theory of strongly amenable subfactors of type II 1 , and the theory of (approximately inner) automorphisms on subfactors (cf.

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