Familiarity with functional analysis, Operator Theory and C*-algebras
Location and Schedule:
Skiles 108B Tuesday-Thursday 1:35-2:55PM
This course will be continuation of the course taught in 2003 on the same subject.
However this course can be followed even if the 2003 course was not attended.
It will cover mainly the following topics
Basic properties of C*-algebras, traces, Dixmier Traces, differential algebra
Cycles, spectral triples
Hoshschild cohomology, cyclic cohomology
NC-Riemannian Spin Manifolds, Rennie's Theorem , Noncommutative Spheres
Riemannian geometry on metric Cantor sets, on foliated spaces.
These lectures should interest students in Mathematics and
in Mathematical Physics.
References: books, articles
A. Connes, Noncommutative Geometry, Acad. press,
San Diego (1994)
Joseph C. Varilly, Hector
Figueroa, Jose M. Gracia-Bondia,
Elements of Noncommutative Geometry, Birkhauser Boston (2000).