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On KK-Theory and a Theorem in Stable Uniquenes

Posted on:2017-04-04Degree:M.SType:Thesis
University:University of Louisiana at LafayetteCandidate:Foote, Richard D. LFull Text:PDF
GTID:2470390017960480Subject:Mathematics
Abstract/Summary:
Starting in the 1970s, Elliot's classification of AF -algebras and Brown-Douglas-Fillmore's classification of essentially normal operators created an explosion in the use of topological methods in the study of C * -algebras. Kasparov's introduction of KK-theory introduced more advanced machinery. This led to better existence and uniqueness theorems with applications in the classification program. In this thesis, I present such a uniqueness theorem with a proof as presented by Eilers-Dadarlat.
Keywords/Search Tags:Classification
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