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Simple inductive limit C*-algebras: Spectra and approximations by interval algebras
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Liangqing Li
Published/Copyright:
June 12, 2008
Abstract
Suppose that a simple C*-algebra A can be written as an inductive limit of 
, where Xn,i are finite CW complexes with uniformly bounded dimensions. Such inductive limit C*-algebras are called AH algebras.
In this paper, we will prove that for any n and ε > 0, there exists a homomorphism ψn,m: An → Am, which factors through an interval algebra 
, such that the spectra of ψn,m and the spectra of φn,m can be paired within ε provided that m is large enough. This result is essential for the classification of such simple C*-algebras.
Received: 1998-04-14
Accepted: 1998-07-27
Published Online: 2008-06-12
Published in Print: 1999-02-15
© Walter de Gruyter
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Articles in the same Issue
- Approximate homogeneity is not a local property
- Gradient regularity for minimizers under general growth conditions
- On the mock Peter-Weyl theorem and the Drinfeld double of a double
- Simple inductive limit C*-algebras: Spectra and approximations by interval algebras
- On the K-theory of elliptic curves
- Polar representations and symmetric spaces
- On the divisor-sum problem for binary forms
- Block-compatible metaplectic cocycles
- Converse theorems for GLn, II
- Representations of restricted Lie algebras and families of associative ℒ-algebras
- A limit theorem for Bohr-Jessen's probability measures of the Riemann zeta-function
- Erratum to the paper: Terme constant des fonctions tempérées sur un espace symétrique réductif
