9401440 Baum The BC (= Baum-Connes) conjecture is an extremely general equality relating topology, i.e. continuous geometry, and analysis, i.e. the branch of mathematics based on multi-variable calculus. This conjecture is unusual in that it cuts across several different areas of mathematics and thus reveals an underlying unity which previously was completely unknown. The research pursued here centers on proving this conjecture for certain classes of examples and then obtaining corollaries. More precisely, let G be a topological group which is Hausdorff, locally compact and second countable. The main examples are Lie groups, p-adic groups and discrete groups. C*G denotes the reduced C*-algebra of G, and KC*G is its K-theory. The BC conjecture, if true, gives an answer to the problem of calculating KC*G. Validity of the conjecture has applications to well-known problems in geometry-topology and representation theory. ***

Agency
National Science Foundation (NSF)
Institute
Division of Mathematical Sciences (DMS)
Application #
9401440
Program Officer
Ralph M. Krause
Project Start
Project End
Budget Start
1994-12-01
Budget End
1998-04-30
Support Year
Fiscal Year
1994
Total Cost
$172,500
Indirect Cost
Name
Pennsylvania State University
Department
Type
DUNS #
City
University Park
State
PA
Country
United States
Zip Code
16802