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 language | English |
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Pages (from-to) | 119-127 |
Number of pages | 9 |
Journal | Pacific Journal of Mathematics |
Volume | 153 |
Issue number | 1 |
DOIs | |
Publication status | Published - Mar 1992 |
All Science Journal Classification (ASJC) codes
- Mathematics(all)