Perturbations of intermediate C*-subalgebras for simple C*-algebras

Shoji Ino, Yasuo Watatani

    Research output: Contribution to journalArticlepeer-review

    4 Citations (Scopus)

    Abstract

    We study uniform perturbations of intermediate C-subalgebras of inclusions of simple C-algebras. If a unital simple C-algebra has a simple C-subalgebra of finite index, then sufficiently close intermediate C-subalgebras are unitarily equivalent. These intermediate C-subalgebras need not be nuclear. The unitary can be chosen in the relative commutant algebra. An immediate corollary is the following: If the relative commutant is trivial, then the set of intermediate C-subalgebras is a finite set.

    Original languageEnglish
    Pages (from-to)469-480
    Number of pages12
    JournalBulletin of the London Mathematical Society
    Volume46
    Issue number3
    DOIs
    Publication statusPublished - Jun 2014

    All Science Journal Classification (ASJC) codes

    • General Mathematics

    Fingerprint

    Dive into the research topics of 'Perturbations of intermediate C*-subalgebras for simple C*-algebras'. Together they form a unique fingerprint.

    Cite this