Lifting units modulo exchange ideals and C* -algebras with real rank zero

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Lifting Units modulo Exchange Ideals and C∗-algebras with Real Rank Zero

Given a unital ring R and a two-sided ideal I of R, we consider the question of determining when a unit of R/I can be lifted to a unit of R. For the wide class of separative exchange ideals I, we show that the only obstruction to lifting invertibles relies on a K-theoretic condition on I. This allows to extend previously known index theories to this context. Using this we can draw consequences ...

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ژورنال

عنوان ژورنال: Journal für die reine und angewandte Mathematik (Crelles Journal)

سال: 2000

ISSN: 0075-4102,1435-5345

DOI: 10.1515/crll.2000.040