The isomorphism conjecture for 3-manifold groups and K-theory of virtually poly-surface groups
The isomorphism conjecture in L-theory
The isomorphism conjecture in L-theory: graphs of groups
The K-theoretic Farrell-Jones Conjecture for hyperbolic groups
The K-theory of Heegaard quantum lens spaces
The K-Theory of Heegaard-Type Quantum 3-Spheres
The Künneth formula for nuclear $DF$-spaces and Hochschild cohomology
The Linearisation Map in Algebraic K-Theory
The localization sequence for the algebraic K-theory of topological K-theory
The localized longitudinal index theorem for Lie groupoids and the van Est map
The Mayer-Vietoris principle for Grothendieck-Witt groups of schemes
The minimal model for the Batalin-Vilkovisky operad
The Motivic Cohomology of Stiefel Varieties
The nilpotence conjecture in K-theory of toric varieties
The Noncommutative Geometry Generalization of Fundamental Group
The Novikov conjecture for algebraic K-theory of the group algebra over the ring of Schatten class operators
The obstruction to excision in K-theory and in cyclic homology
The period-index problem for twisted topological K-theory
The Pimsner-Voiculescu sequence for coactions of compact Lie groups
The Popescu-Gabriel theorem for triangulated categories