THE TEMPERATURE STATE SPACE OF A ＄C^{*}＄-DYNAMICAL SYSTEM, I
スポンサーリンク
概要
- 論文の詳細を見る
Let ＄(K_{￥beta})_{￥beta￥in R}＄ be a family of subsimplexes of a compact, convex, metrizable set ＄K＄ such that ＄￥{(￥beta, ￥omega);￥beta￥in R, ￥omega￥in K_{￥beta}￥}＄ is a closed subset of ＄R￥times K＄. We prove that there exist a simple separable ＄C^{*}＄-algebra ＄￥mathscr{A}＄ with identity, and a strongly continuous one-parameter group ＄￥gamma of*＄-automorphisms of ＄￥mathscr{A}＄ , such that the set of ＄(￥gamma, ￥beta)＄-KMS states is affinely isomorphic to ＄K_{￥beta}＄ for each ＄￥beta￥in R＄ . Furthermore, ＄(￥mathscr{A}, ￥gamma)＄ may be chosen such that the set of ground states, resp. ceiling states, is isomorphic to an arbitrary face in the state space of an arbitrary simple, unital, separable AF algebra. We finally prove that any metrizable simplex is isomorphic to a face in the state space of a certain simple, unital, separable AF algebra.
- Yokohama City Universityの論文
- 1980-00-00
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