Some remarks on actions of compact matrix quantum groups on C*-algebras

Yuji Konishi, Masaru Nagisa, Yasuo Watatani

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)

Abstract

In this paper we construct an action of a compact matrix quantum group on a Cuntz algebra or a UHF-algebra, and investigate the fixed point subalgebra of the algebra under the action. Especially we consider the action of µU(2) on the Cuntz algebra O2 and the action of SµU(2) on the UHF-algebra of type 2. We show that these fixed point subalgebras are generated by a sequence of Jones’ projections.

Original languageEnglish
Pages (from-to)119-127
Number of pages9
JournalPacific Journal of Mathematics
Volume153
Issue number1
DOIs
Publication statusPublished - Mar 1992

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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