GEOMETRY OF QUASI-FREE STATES OF CCR ALGEBRAS
نویسندگان
چکیده
منابع مشابه
Dirichlet Forms and Symmetric Markovian Semigroups on CCR Algebras with respect to Quasi-free States
Employing the construction method of Dirichlet forms on standard forms of von Neu-mann algebras developed in Pa], we construct Dirichlet forms and associated symmetric Markovian semigroups on CCR algebras with respect to quasi-free states. More precisely, let A(h 0) be the CCR algebra over a complex separable pre-Hilbert space h 0 and let ! be a quasi-free state on A(h 0). For any normalized ad...
متن کاملamenability of banach algebras
chapters 1 and 2 establish the basic theory of amenability of topological groups and amenability of banach algebras. also we prove that. if g is a topological group, then r (wluc (g)) (resp. r (luc (g))) if and only if there exists a mean m on wluc (g) (resp. luc (g)) such that for every wluc (g) (resp. every luc (g)) and every element d of a dense subset d od g, m (r)m (f) holds. chapter 3 inv...
15 صفحه اولKms States of Quasi-free Dynamics on Pimsner Algebras
A continuous one-parameter group of unitary isometries of a right-Hilbert C*bimodule induces a quasi-free dynamics on the Cuntz-Pimsner C*-algebra of the bimodule and on its Toeplitz extension. The restriction of such a dynamics to the algebra of coefficients of the bimodule is trivial, and the corresponding KMS states of the Toeplitz-Cuntz-Pimsner and Cuntz-Pimsner C*-algebras are characterize...
متن کاملFree Quasi-free States
To a real Hilbert space and a one-parameter group of orthogonal transformations we associate a C∗-algebra which admits a free quasi-free state. This construction is a freeprobability analog of the construction of quasi-free states on the CAR and CCR algebras. We show that under certain conditions, our C∗-algebras are simple, and the free quasi-free states are unique. The corresponding von Neuma...
متن کاملGraphs and Ccr Algebras
I introduce yet another way to associate a C*-algebra to a graph and construct a simple nuclear C*-algebra that has irreducible representations both on a separable and a nonseparable Hilbert space. Kishimoto, Ozawa and Sakai have proved in [8] that the pure state space of every separable simple C*-algebra is homogeneous in the sense that for every two pure states φ and ψ there is an automorphis...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: International Journal of Mathematics
سال: 2010
ISSN: 0129-167X,1793-6519
DOI: 10.1142/s0129167x10006306