منابع مشابه
Local Characterisation of Approximately Finite Operator Algebras
We show that the family of nest algebras with r non-zero nest projections is stable, in the sense that an approximate containment of one such algebra within another is close to an exact containment. We use this result to give a local characterisation of limits formed from this family. We then consider quite general regular limit algebras and characterise these algebras using a local condition w...
متن کاملOn the C*-envelope of approximately finite-dimensional operator algebras
The C*-envelope of the limit algebra (or limit space) of a contrac-tive regular system of digraph algebras (or digraph spaces) is shown to be an approximately finite C*-algebra and the direct system for the C*-envelope is determined explicitly.
متن کاملA Cohomological Characterization of Approximately Finite Dimensional Von Neumann Algebras
One of the purposes in the computation of cohomology groups is to establish invariants which may be helpful in the classification of the objects under consideration. In the theory of continuous Hochschild cohomology for operator algebras R. V. Kadison and J. R. Ringrose proved [10] that for any hyperfinite von Neumann algebra M and any dual normal M-bimodule S, all the continuous cohomology gro...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1956
ISSN: 0002-9947
DOI: 10.2307/1992909