Mathematics $K$-theory $K$-theory and homology; cyclic homology and cohomology $K$-theory and operator algebras (Colo.)homology of rings and algebras (e.g. Hochschild, cyclic, dihedral, etc.) Algebraic Algebraic geometry Algebraische Geometrie Algebraïsche meetkunde Algèbres non commutatives Analyse globale (Mathématiques) Anneaux commutatifs Anneaux non commutatifs Arithmetic rings and other special rings Associative rings and algebras Commutative algebra Commutative rings Functionaalanalyse Geometry Geometry, Algebraic Géométrie algébrique Géométrie différentielle Géométrie différentielle non commutative Global analysis (Mathematics) Globale analyse Higher algebraic $K$-theory Homological methods Hopf algebras and their applications Hopf algebras, quantum groups and related topics Index theory