Abstract Theory of Abelian Operator Algebras: an Application of Forcing
نویسندگان
چکیده
THEORY OF ABELIAN OPERATOR ALGEBRAS: AN APPLICATION OF FORCING BY THOMAS J. JECH1 Abstract. The abstract abelian operator theory is developed from a general standpoint, using the method of forcing and Boolean-valued models. The abstract abelian operator theory is developed from a general standpoint, using the method of forcing and Boolean-valued models.
منابع مشابه
C*-algebras on r-discrete Abelian Groupoids
We study certain function algebras and their operator algebra completions on r-discrete abelian groupoids, the corresponding conditional expectations, maximal abelian subalgebras (masa) and eigen-functionals. We give a semidirect product decomposition for an abelian groupoid. This is done through a matched pair and leads to a C*-diagonal (for a special case). We use this decomposition to study ...
متن کاملAbstract structure of unitary oracles for quantum algorithms
structure of unitary oracles for quantum algorithms W. J. Zeng∗ Jamie Vicary∗† [email protected] [email protected] 5 June 2014 Abstract We show that a pair of complementary dagger-Frobenius algebras, equipped with a selfconjugate comonoid homomorphism onto one of the algebras, produce a nontrivial unitary morphism on the product of the algebras. This gives an abstract understandin...
متن کاملPositive Cone in $p$-Operator Projective Tensor Product of Fig`a-Talamanca-Herz Algebras
In this paper we define an order structure on the $p$-operator projective tensor product of Herz algebras and we show that the canonical isometric isomorphism between $A_p(Gtimes H)$ and $A_p(G)widehat{otimes}^p A_p(H)$ is an order isomorphism for amenable groups $G$ and $H$.
متن کاملFrames and Homogeneous Spaces
Let be a locally compact non?abelian group and be a compact subgroup of also let be a ?invariant measure on the homogeneous space . In this article, we extend the linear operator as a bounded surjective linear operator for all ?spaces with . As an application of this extension, we show that each frame for determines a frame for and each frame for arises from a frame in via...
متن کاملOn categories of merotopic, nearness, and filter algebras
We study algebraic properties of categories of Merotopic, Nearness, and Filter Algebras. We show that the category of filter torsion free abelian groups is an epireflective subcategory of the category of filter abelian groups. The forgetful functor from the category of filter rings to filter monoids is essentially algebraic and the forgetful functor from the category of filter groups to the cat...
متن کامل