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


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.


  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