منابع مشابه
A Class of C∗-algebras Generalizing Both Graph Algebras and Homeomorphism C∗-algebras Ii, Examples
We show that the method to construct C∗-algebras from topological graphs, introduced in our previous paper, generalizes many known constructions. We give many ways to make new topological graphs from old ones, and study the relation of C∗-algebras constructed from them. We also give a characterization of our C∗-algebras in terms of their representation theory.
متن کاملInjective Hulls of C* Algebras. Ii
Proof. The idempotents correspond to the Borel sets modulo sets of first category. Since, in addition, the idempotents generate B(X), B(X) is an AW* and hence an injective algebra. The natural map U of C(X) into B(X) induced by the inclusion map is clearly a homomorphism. It is one-one since continuous functions which are not identically equal must differ on a set of second category. To complet...
متن کاملDimension Growth for C * -algebras Ii
Simple and nuclear C∗-algebras which fail to absorb the Jiang-Su algebra tensorially have settled many open questions in the theory of nuclear C∗algebras, but have been little studied in their own right. This is due partly to a dearth of invariants sensitive to differences between such algebras. We present two new real-valued invariants to fill this void: the dimension-rank ratio (for unital AH...
متن کاملCovering Dimension for Nuclear C∗-algebras Ii
The completely positive rank is an analogue of the topological covering dimension, defined for nuclear C∗-algebras via completely positive approximations. These may be thought of as simplicial approximations of the algebra, which leads to the concept of piecewise homogeneous maps and a notion of noncommutative simplicial complexes. We introduce a technical variation of completely positive rank ...
متن کاملProjections in free product C*-algebras, II
Let (A; ') be the reduced free product of innnitely many C {algebras (A ; ') with respect to faithful states. Assume that the A are not too small, in a speciic sense. If ' is a trace then the positive cone of K 0 (A) is determined entirely by K 0 ('). If, furthermore, the image of K 0 (') is dense in R, then A has real rank zero. On the other hand, if ' is not a trace then A is simple and purel...
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ژورنال
عنوان ژورنال: MATHEMATICA SCANDINAVICA
سال: 1978
ISSN: 1903-1807,0025-5521
DOI: 10.7146/math.scand.a-11782