Nonunital spectral triples and metric completeness in unbounded KK-theory

EquivariantKK-theory and the Novikov conjecture

Gennadi Kasparov · Inventiones mathematicae · 1988 · 920 citations

Novikov Conjecture, Geometry Of Number

THE OPERATOR<i>K</i>-FUNCTOR AND EXTENSIONS OF<i>C</i>*-ALGEBRAS

Gennadi Kasparov · Mathematics of the USSR-Izvestiya · 1981 · 592 citations

Abstract Algebra, Representation Theory, General Form +7

The Longitudinal Index Theorem for Foliations

Alain Connes, Georges Skandalis · Publications of the Research Institute for Mathematical Sciences · 1984 · 361 citations · Full text

Algebra extensions and nonsingularity

Joachim Cuntz, Daniel Quillen · Journal of the American Mathematical Society · 1995 · 347 citations · Full text

Cyclic Homology, Abstract Algebra, Algebra Extensions +7

Compact metric spaces, Fredholm modules, and hyperfiniteness

Alain Connes · Ergodic Theory and Dynamical Systems · 1989 · 302 citations · Full text

Fredholm Modules, Infinite Dimensional Analysis, Representation Theory +9