Operator Algebras and K-Theory.

Intro -- Table of Contents -- Introduction -- Index theory, bordism, and K-homology -- The radial Fourier-Stieltjes algebra of free groups -- Reducible topological Markov chains via K0-theory and Ext -- Miščenko's work on Novikov's conjecture -- Pseudo-differential operators and differential structures -- L2-index on elliptic operators on locally symmetric spaces of finite volume -- K-theory for actions of the circle group on C*-algebras -- Connes' analogue for crossed products of the Thom isomorphism -- The role of K-theory in non-commutative algebraic topology -- 1. The concept of non-commutative algebraic topology -- 2. The ubiquity of K-theory in non-ommutative algebraic topology -- 3. Foundations of non-commutative homo-topy theory -- 4. Stable homotopy and K-theory -- 5. Afterword -- Some remarks on the classification of essentially n-normal operators -- A Selection of Problems.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.