Nuclearity-related Properties for Nonselfadjoint Algebras
نویسنده
چکیده
In analogy with the C-algebra theory, we study variants appropriate to nonselfadjoint algebras of nuclearity, the local lifting property, exactness, and the weak expectation property. In addition, we study the relationships between these notions, and how they are connected with the classical C-algebra theory through the use of C-algebras generated by the algebra.
منابع مشابه
2 00 6 Self - Similar Groups , Algebras and Schur
In the first part of the article we introduce C-algebras associated to self-similar groups and study their properties and relations to known algebras. The algebras are constructed as sub-algebras of the Cuntz-Pimsner algebra (and its homomorphic images) associated with the self-similarity of the group. We study such properties as nuclearity, simplicity and Morita equivalence with algebras relat...
متن کاملNuclearity of Semigroup C*-algebras and the Connection to Amenability
We study C*-algebras associated with subsemigroups of groups. For a large class of such semigroups including positive cones in quasi-lattice ordered groups and left Ore semigroups, we describe the corresponding semigroup C*algebras as C*-algebras of inverse semigroups, groupoid C*-algebras and full corners in associated group crossed products. These descriptions allow us to characterize nuclear...
متن کاملModular Nuclearity and Localization
Within the algebraic setting of quantum field theory, a condition is given which implies that the intersection of algebras generated by field operators localized in wedge–shaped regions of two–dimensional Minkowski space is non–trivial; in particular, there exist compactly localized operators in such theories which can be interpreted as local observables. The condition is based on spectral (nuc...
متن کاملCuntz-like Algebras
The usual crossed product construction which associates to the homeomorphism T of the locally compact space X the C∗-algebra C∗(X, T ) is extended to the case of a partial local homeomorphism T . For example, the Cuntz-Krieger algebras are the C∗-algebras of the one-sided Markov shifts. The generalizations of the Cuntz-Krieger algebras (graph algebras, algebras OA where A is an infinite matrix)...
متن کاملA Note on Approximation Properties of Crossed Products by Hilbert Bimodules
Let X be a Hilbert bimodule over a C∗-algebra A and OX = A⋊X Z. Using a finite section method we construct a sequence of completely positive contractions factoring through matrix algebras over A which act on sξs ∗ η as Schur multipliers converging to the identity. This shows immediately that for a finitely generated X the algebra OX inherits any standard approximation property such as nuclearit...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2008