On the flip fixed point algebra in certain noncommutative tori

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Abstract

We study the structure of flip fixed point subalgebras of noncommutative n-tori, called symmetrized noncommutative n-tori. We prove that a certain class of symmetrized noncommutative 3-tori are AF-algebras and give a new proof of Bratteli-Kishimoto's result that all irrational symmetrized noncommutative 2-tori are AF.

Original languageEnglish (US)
Pages (from-to)253-272
Number of pages20
JournalIndiana University Mathematics Journal
Volume45
Issue number1
DOIs
StatePublished - Jan 1 1996
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)

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