Stable relations. II. Corona semiprojectivity and dimension-drop C ∗ -algebras
1996; Mathematical Sciences Publishers; Volume: 172; Issue: 2 Linguagem: Inglês
10.2140/pjm.1996.172.461
ISSN1945-5844
Autores Tópico(s)Advanced Banach Space Theory
ResumoWe prove that the relations in any presentation of the dimension-drop interval are stable, meaning there is a perturbation of all approximate representations into exact representations.The dimension-drop interval is the algebra of all M n -valued continuous function on the interval that are zero at one end-point and scalar at the other.This has applications to mod-p if-theory, lifting problems and classification problems in C*-algebras.For many applications, the perturbation must respect precise functorial conditions.To make this possible, we develop a matricial version of Kasparov's technical theorem. Introduction.Suppose Ίl is a finite set of relations on a finite set G of generators so that C*(G\1Z) is isomorphic to the dimension-drop interval
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