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

Yuji Konishi; Masaru Nagisa; Yasuo Watatani

doi:10.2140/pjm.1992.153.119

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

Yuji Konishi, Masaru Nagisa, Yasuo Watatani

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-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 S_µU(2) on the UHF-algebra of type 2^∞. We show that these fixed point subalgebras are generated by a sequence of Jones’ projections.

Original language	English
Pages (from-to)	119-127
Number of pages	9
Journal	Pacific Journal of Mathematics
Volume	153
Issue number	1
DOIs	https://doi.org/10.2140/pjm.1992.153.119
Publication status	Published - Mar 1992

All Science Journal Classification (ASJC) codes

Mathematics(all)

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

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