Titlebook: C*-algebras and Elliptic Theory II; Dan Burghelea,Richard Melrose,Evgenij V. Troitsky Book 2008 Birkh?user Basel 2008 Algebra.Dirac operat

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Latency

宣稱

Boundaries, Eta Invariant and the Determinant Bundle,bol family extends to be elliptic across the whole fibration. For Dirac operators with spectral boundary condition, Dai and Freed [.] gave an explicit version of this at the level of the determinant bundle. Their result, that the eta invariant of the interior family trivializes the determinant bundl

AGGER

巫婆

Elliptic Theory on Manifolds with Corners: II. Homotopy Classification and ,-Homology,operators modulo stable homotopy is isomorphic to the .-homology group of some stratified manifold. By way of application, generalizations of some recent results due to Monthubert and Nistor are given.

Genteel

Topological Invariants of Bifurcation, for . .-families of Fredholm maps derived from the index bundle of the family of linearizations along the trivial branch. As illustration, I will present an application to bifurcation of homoclinic solutions of non-autonomous differential equations from a branch of stationary solutions.

Diuretic

otic-capsule

寬度

Group Bundle Duality, Invariants for Certain ,*-algebras, and Twisted Equivariant ,-theory,iant .-theory. As an application, we study .*-algebra bundles with fibre a fixed-point algebra of the Cuntz algebra: a classification is given, and a cohomological invariant is assigned, representing the obstruction to perform an embedding into a continuous bundle of Cuntz algebras. Finally, we intr