Lin explores the structure of C*-algebras and their homomorphisms, exploring both the mathematical phenomenon and practical applications. After an an overview of the Elliott program; he covers homomorphisms from subhomogeneous C*-algebras to finite dimensional C*-algebras, the stable version of the basic homotopy lemma, a concrete version of the Bott map, a version of the basic homotopy lemma in finite dimensional C*-algebras, the notation of gTR(A)<=1, the classification of C*-algebras with gTR(A)<=1, the basic homotopy lemma in C*-algebras with gTR(A)<=1, a theorem concerning how to lift KK-elements to homomorphisms, the notation of asymptotic unitary equivalence, and some current developments in the Elliott program (without full proofs). Annotation ©2017 Ringgold, Inc., Portland, OR (protoview.com)
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Huaxin Lin, East China Normal University, Shanghai, China, and University of Oregon, Eugene, OR.
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