C＊環と楕円理論 C-algebras and Elliptic Theory (Trends in Mathematics) （2006. IX, 327 p.）

Ed. by Bogdan Bojarski, Alexander S. Mishchenko, Evgenij V. Troitsky et al.

BIRKHÄUSER（2006発売）

BIRKHÄUSER（2006発売）

• 製本 Hardcover:ハードカバー版／ページ数 352 p.
• 言語 ENG
• 商品コード 9783764376864

Full Description

This book consists of reviewed original research papers and expository articles in index theory (especially on singular manifolds), topology of manifolds, operator and equivariant K-theory, Hopf cyclic cohomology, geometry of foliations, residue theory, Fredholm pairs and others, and applications in mathematical physics. The wide spectrum of subjects reflects the diverse directions of research for which the starting point was the Atiyah-Singer index theorem.

Contents

Correspondences and Index.- Approximation Properties for Discrete Groups.- A Riemannian Invariant, Euler Structures and Some Topological Applications.- Morse Inequalities for Foliations.- Index Theory for Generalized Dirac Operators on Open Manifolds.- Semiclassical Asymptotics and Spectral Gaps for Periodic Magnetic Schrödinger Operators on Covering Manifolds.- The Group of Unital C*-extensions.- Lefschetz Theory on Manifolds with Singularities.- Residues and Index for Bisingular Operators.- On the Hopf-type Cyclic Cohomology with Coefficients.- The Thom Isomorphism in Gauge-equivariant K-theory.- Pseudodifferential Subspaces and Their Applications in Elliptic Theory.- New L 2-invariants of Chain Complexes and Applications.- Bundles of C*-algebras and the KK(X;?,?)-bifunctor.