SHIFT AUTOMORPHISM GROUPS OF ＄C^{*}＄ -ALGEBRAS
スポンサーリンク
概要
- 論文の詳細を見る
We study a ＄C^{*}＄-dynamical system ＄(A, G, ￥alpha)＄ in which ＄G＄ is a discrete group acting freely on ＄A＄ in a strong sense. We show that the enveloping von Neumann algebra ＄(A￥times G)^{￥prime￥prime}＄ of the ＄C^{*}＄-crossed product ＄A￥times G＄ of such a system is isomorphic to the ＄ W^{*}￥cdot crossed￥alpha＄ product ＄ A^{￥prime￥prime}￥times G￥alpha＄ where ＄￥alpha^{￥prime￥prime}isa＄ the bitransposed action of ＄G＄ on ＄A^{￥prime￥prime}＄ . Consequently, ＄ A￥times G￥alpha＄ is a type I ＄C^{*}＄-algebra if ＄A＄ is a type I ＄C^{*}＄-algebra.
- Yokohama City Universityの論文
- 1984-00-00
Yokohama City University | 論文
- STABILITY OF CONSTANT MEAN CURVATURE SURFACES IN RIEMANNIAN 3-SPACE FORM
- THREE-POINT BOUNDARY VALUE PROBLEMS-EXISTENCE AND UNIQUENESS
- ON CONDITIONS ON X SUCH THAT XAX* IS HERMITIAN
- A NOTE ON MALMQUIST'S THEOREM ON FIRST-ORDER DIFFERENTIAL EQUATIONS
- FURTHER RESULTS ON COMMON RIGHT FACTORS