# Spectral subspaces for compact group actions on $C^*$-algebras

• Jang, Sun-Young (Department of Mathematics, University of Ulsan, Ulsan 680-749)
• Published : 1997.11.01

#### Abstract

We analysis spectral subspaces of $C^*$-algebras for a compacr group action. And we prove the condition that the fixed point algebra of the product action is the tensor product of the fixed point algebras.

#### References

1. Derivations, dissipations and group actions on $C^*$-algebras O. Bratteli
2. to appear in J. Operator Theory Spectra for compact group systems E.C. Gootman;A.J. Lazar;C. Peligrad
3. Tohoku. Math. Jour. v.30 On the invariant Γ(α) in $C^*$-dynamical systems A. Kishimoto;M. Takai
4. Invent. Math. v.39 Compact abelian groups of automorphisms of simple $C^*$-algebras D. Olesen;G.K. Pedersen;E. Stormer
5. Proceedings, International Conference held in Neptun, Romania, 1980 Ⅱ Operator algebras and compact group M.B. Landstad
6. J. Func. Anal. v.76 Locally compact group actions on $C^*$-algebras and compact subgroups C. Peligrad
7. Proc. A. M. S. v.110 Topological transitive of compact actions on $C^*$ algebras S.Y. Jang;S.G. Lee