On Type II noncommutative geometry and the JLO character

Abstract

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.

31 pages, Latex2e

References in corpus (1)

• On the spectral characterization of manifolds

Cited by in corpus (2)

• Modular Theory, Non-Commutative Geometry and Quantum Gravity
• The JLO Character for The Noncommutative Space of Connections of Aastrup-Grimstrup-Nest