Cstar-algebras and elliptic theory II

Dan Burghelea, Richard Melrose, Alexander S. Mishchenko, Evgenij V. Troitsky3764386037, 9783764386030, 9783764386047

This book consists of a collection of original, refereed research and expository articles on elliptic aspects of geometric analysis on manifolds, including singular, foliated and non-commutative spaces. The topics covered include the index of operators, torsion invariants, K-theory of operator algebras and L2-invariants. The results presented in this book, which is largely inspired and stimulated by the Atiyah-Singer index theorem, should be of interest to graduates and researchers in mathematical physics, differential topology and differential analysis.