2008/11/10 by Hyun Ho Lee, Lee, Hyun Ho
Mathematics · #Advanced Operator Algebra Research #Advanced Topics in Algebra #Algebraic structures and combinatorial models
paper · pdf · doi:10.48550/arxiv.0811.1395
We consider three lifting questions: Given a C\sp*-algebra I, if there is a unital C\sp*-algebra A contains I as an ideal, is every unitary from A/I lifted to a unitary in A? is every unitary from A/I lifted to an extremal partial isometry? is every extremal partial isometry from A/I lifted to an extremal partial isometry? We show several constructions of I which serve as working examples or counter-examples for above questions.