On Type II noncommutative geometry and the JLO character

Details On Type II noncommutative geometry and the JLO character On Type II noncommutative geometry and the JLO character

2010-03-22

arxiv.org/abs/1003.4226v2

Physics

Mathematical Physics

31 pages, Latex2e

Scientific paper

The Jaffe-Lesniewski-Osterwalder (JLO) character is a homomorphism from K-homology to entire cyclic cohomology. This paper extends the domain of the JLO character to include Type II noncommutative geometry, the geometry represented by unbounded $\theta$-summable Breuer-Fredholm modules; and shows that the JLO character coincides with the Chern-Connes character as a class in entire cyclic cohomolgoy.

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