منابع مشابه
Quasidiagonal Morphisms and Homotopy
A linear operator acting on a separable Hilbert space is called quasidiagonal if it is a compact perturbation of a block-diagonal operator (see [H]). This notion extends to C*-algebras in the form of a local approximation property. Quasidiagonality has important applications to the extension theory of C*-algebras. It was shown by Voiculescu [V2] that quasidiagonality is a topological invariant....
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We show that morphisms from n homotopy unital A∞-algebras to a single one are maps over an operad module with n + 1 commuting actions of the operad A ∞, whose algebras are homotopy unital A∞-algebras. The operad A∞ and modules over it have two useful gradings related by isomorphisms which change the degree. The composition of A ∞-morphisms with several entries is presented as a convolution of a...
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متن کاملQuasidiagonal Extensions and Sequentially Trivial Asymptotic Homomorphisms
to be quasidiagonal when B⊗K contains an approximate unit of projections which is quasi-central in E, cf. [Sa]. He identified, under certain conditions, the subgroup of KK(A,B) which the quasidiagonal extensions correspond to under Kasparov’s isomorphism Ext(A,B) ' KK(A,B). C. Schochet has removed some of Salinas’ conditions in [S], the result being that when A is a unital C-algebra in the boot...
متن کاملOn Quasidiagonal C-algebras
We give a detailed survey of the theory of quasidiagonal C∗-algebras. The main structural results are presented and various functorial questions around quasidiagonality are discussed. In particular we look at what is currently known (and not known) about tensor products, quotients, extensions, free products, etc. of quasidiagonal C∗-algebras. We also point out how quasidiagonality is connected ...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 1997
ISSN: 0022-1236
DOI: 10.1006/jfan.1997.3145