منابع مشابه
Inductive Limits of Subhomogeneous C∗-algebras with Hausdorff Spectrum
We consider unital simple inductive limits of generalized dimension drop C∗-algebras They are so-called ASH-algebras and include all unital simple AH-algebras and all dimension drop C∗-algebras. Suppose that A is one of these C∗-algebras. We show that A ⊗ Q has tracial rank no more than one, where Q is the rational UHF-algebra. As a consequence, we obtain the following classification result: Le...
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Let χ be a finite Borel measure on [0, 1]. Consider the L-spectrum of χ: τχ(q) = lim infn→∞−n logb P Q∈Gn, χ(Q) 6=0 χ(Q) , where Gn is the set of b-adic cubes of generation n. Let qτ = inf{q : τχ(q) = 0} and Hτ = τ ′ χ(q − τ ). When χ is a mono-dimensional continuous measure of information dimension D, (qτ , Hτ ) = (1, D). When χ is purely discontinuous, its information dimension is D = 0, but ...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1975
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1975-0405116-1