Lifting Problems and the Cohomology of C-Algebras

Suppose that A and B are C*-algebras, J is a closed two-sided ideal in B, and that η: B →B/J is the quotient map. Given a linear contraction φ : A → B/J, a linear map Ψ: A → B is a lifting of φ if one has a commutative diagram

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Bibliographic Details
Published in:Canadian journal of mathematics 1977-10, Vol.29 (5), p.1092-1111
Main Authors: Choi, Man-Duen, Effros, Edward G.
Format: Article
Language:English
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Summary:Suppose that A and B are C*-algebras, J is a closed two-sided ideal in B, and that η: B →B/J is the quotient map. Given a linear contraction φ : A → B/J, a linear map Ψ: A → B is a lifting of φ if one has a commutative diagram
ISSN:0008-414X
1496-4279
DOI:10.4153/CJM-1977-108-x