IMAS   23417
INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Unidad Ejecutora - UE
libros
Título:
Topics in Noncommutative Geometry.
Autor/es:
HERNIQUE BURSZTYN; RUBÉN SÁNCHEZ-GARCÍA; EDUARDO HOEFEL; MAX KAROUBI; JEAN-FRANÇOIS LAFONT; BRAM MESLAND; RALF MEYER; IVONNE ORTIZ; JONATHAN ROSENBERG; GONÇALO TABUADA; ROBERTO TRINCHERO; BORIS TSYGAN; STEFAN WALDMANN; ANDRZEJ ZUK
Editorial:
American Mathematical Society.
Referencias:
Lugar: Providence, Rhode Island.; Año: 2012 p. 276
ISSN:
0-8218-6864-0
Resumen:
Luis Santaló Winter Schools are organized yearly
by the Mathematics Department and the Santaló Mathematical Research
Institute of the School of Exact and Natural Sciences of the University
of Buenos Aires (FCEN). This volume contains the proceedings of the
third Luis Santaló Winter School which was devoted to noncommutative
geometry and held at FCEN July 26-August 6, 2010.
Topics in this
volume concern noncommutative geometry in a broad sense, encompassing
various mathematical and physical theories that incorporate geometric
ideas to the study of noncommutative phenomena. It explores connections
with several areas including algebra, analysis, geometry, topology and
mathematical physics.
Bursztyn and Waldmann discuss the
classification of star products of Poisson structures up to Morita
equivalence. Tsygan explains the connections between Kontsevich's
formality theorem, noncommutative calculus, operads and index theory.
Hoefel presents a concrete elementary construction in operad theory.
Meyer introduces the subject of C∗-algebraic crossed products. Rosenberg introduces Kasparov's KK-theory and noncommutative tori and includes a discussion of the Baum-Connes conjecture for K-theory
of crossed products, among other topics. Lafont, Ortiz, and
Sánchez-García carry out a concrete computation in connection with the
Baum-Connes conjecture. Zuk presents some remarkable groups produced by
finite automata. Mesland discusses spectral triples and the Kasparov
product in KK-theory.
Trinchero explores the connections between Connes' noncommutative
geometry and quantum field theory. Karoubi demonstrates a construction
of twisted K-theory by means of twisted bundles. Tabuada surveys the theory of noncommutative motives.