The Canonical Endomorphism for Infinite Index Inclusions | Zendy

Francesco Fidaleo | Zendy; Tommaso Isola | Zendy

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The Canonical Endomorphism for Infinite Index Inclusions

Author(s) -

Francesco Fidaleo,

Tommaso Isola

Publication year - 1999

Publication title -

zeitschrift für analysis und ihre anwendungen

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.567

H-Index - 35

eISSN - 1661-4534

pISSN - 0232-2064

DOI - 10.4171/zaa/869

Subject(s) - endomorphism , index (typography) , mathematics , pure mathematics , computer science , world wide web

Continuing the analysis in [19, 5], we give purely algebraic characterization of the canonical endomorphism in interesting infinite index cases. We apply these results when compact and discrete (but not necessarily finite dimensional) Woronowicz algebras [22] act alternately on the factors in the various levels of Jones’ tower. We characterise when the acting algebra is a Kac algebra. Mathematics Subject Classification Numbers: Primary 46L37, Secondary 46L05.

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