|Lecturer||Serge RICHARD, Professor|
|Department||Graduate School of Mathematics, 2015 Spring|
|Recommended for:||Graduate school of Mathematics (2・1.5 hours / session One session / week 15 weeks / semester)|
This course will provide an overview of some recent tools introduced at the crossroad between functional analysis, geometry and operator algebras. It can be considered as a course on non-commutative topology, which is the first step toward non-commutative geometry. In order to provide a large panorama on the subject together with applications, some details might be omitted, but references for all proofs will be provided.
There is no specific book related to this course. References and additional material will be provided during the lectures.
C*-algebras, K-theory, index map, cyclic cohomology.
Knowledge on standard undergraduate functional analysis.
This course is open for any students at Nagoya University as one of the “open subjects” of general education.
Lecture notes will be provided for this course.
full document (110 pages)
Grades based on attendance, written reports, and discussions.
December 23, 2019