Characters of Fredholm modules and a problem of Connes

Details Characters of Fredholm modules and a problem of Connes Characters of Fredholm modules and a problem of Connes

2006-04-25

arxiv.org/abs/math/0604528v1

Mathematics

K-Theory and Homology

51 pages

Scientific paper

It is shown that Connes' character formula for unbounded, theta-summable
Fredholm modules represents the abstract Chern-character in K-homology. As an
application, the character of a particular Fredholm module over the reduced
group C*-algebra of a discrete group is calculated, which leads to a partial
solution of a problem posed by A.Connes.

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