Duke Mathematical Journal
- Duke Math. J.
- Volume 122, Number 2 (2004), 233-280.
Finite group actions on C*-algebras with the Rohlin property, I
Basic properties of finite group actions with the Rohlin property on unital C*-algebras are investigated. A characterization of finite group actions with the Rohlin property on the Cuntz algebra is given in terms of central sequences, which may be considered as an equivariant version of E. Kirchberg and N. C. Phillips's characterization of . A large class of symmetries on are classified in terms of the fixed-point algebras for conjugacy and the crossed products for cocycle conjugacy. Model actions of symmetries of are constructed for given K-theoretical invariants.
Duke Math. J., Volume 122, Number 2 (2004), 233-280.
First available in Project Euclid: 14 April 2004
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 46L40: Automorphisms 46L55: Noncommutative dynamical systems [See also 28Dxx, 37Kxx, 37Lxx, 54H20]
Secondary: 46L35: Classifications of $C^*$-algebras 46L80: $K$-theory and operator algebras (including cyclic theory) [See also 18F25, 19Kxx, 46M20, 55Rxx, 58J22]
Izumi, Masaki. Finite group actions on C * -algebras with the Rohlin property, I. Duke Math. J. 122 (2004), no. 2, 233--280. doi:10.1215/S0012-7094-04-12221-3. https://projecteuclid.org/euclid.dmj/1081971768