Topics in noncommutative geometry
Subtitle: Third Luis Santaló Winter School-CIMPA Research School Topics in Noncommutative Geometry, Universidad de Buenos Aires, Buenos Aires, Argentina, July 26-August 6, 2010
By: Guillermo Cortiñas, editor
Contributors: Cortiñas, Guillermo, editor of compilation
Series: Clay mathematics proceedings -- volume 16
Publisher: American Mathematical Society; Clay Mathematics Institute
Published: 2012
Place of publication: Providence, RI; Cambridge, MA
Language: eng
Number of pages: 276
ISBN-13: 9780821868645
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
Notes: Includes bibliographical references.