Title: Topics in noncommutative geometry
Subjects: $K$-theory -- $K$-theory and operator algebras -- Kasparov theory ($KK$-theory), Algebraic geometry -- Foundations -- Noncommutative algebraic geometry, Commutative algebra, Group theory and generalizations -- Special aspects of infinite or finite groups -- Word problems, other decision problems, connections with logic and automata, $K$-theory -- Topological $K$-theory -- Equivariant $K$-theory, Differential geometry -- Symplectic geometry, contact geometry -- Deformation quantization, star products, Global analysis, analysis on manifolds -- Infinite-dimensional manifolds -- Noncommutative geometry (à la Connes), Category theory; homological algebra -- Categories with structure -- Operads, Congresses, Functional analysis -- Selfadjoint operator algebras ($C^*$-algebras, von Neumann ($W^*$-) algebras, etc.) -- Noncommutative dynamical systems, $K$-theory -- Topological $K$-theory -- Twisted $K$-theory; differential $K$-theory, Quantum theory -- Groups and algebras in quantum theory -- Noncommutative geometry, Geometry, algebraic, Functional analysis, Geometry, differential, Quantum theory, Functional analysis -- Selfadjoint operator algebras ($C *$-algebras, von Neumann ($W *$-) algebras, etc.) -- Noncommutative dynamical systems