Endomorphisms of type II1-factors and Cuntz algebras

Masatoshi Enomoto, Yasuo Watatani

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

Any unital *-endomorphism of a type II1-factor is implemented by isometries of a Cuntz algebra outside the factor. If the Jones index of the range of the *-endomorphism is an integer and the algebras act on the standard space, the Jones index must agree with the number of the generators of the Cuntz algebra. We also study (outer) conjugacy of *-endomorphisms using Cuntz algebras.

Original languageEnglish
Pages (from-to)343-354
Number of pages12
JournalJournal of the Australian Mathematical Society
Volume60
Issue number3
Publication statusPublished - Jun 1996

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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