On Type II noncommutative geometry and the JLO character
Mathematical Physics
2010-10-26 v2 K-Theory and Homology
math.MP
Operator Algebras
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 -summable Breuer-Fredholm modules; and shows that the JLO character coincides with the Chern-Connes character as a class in entire cyclic cohomolgoy.
Cite
@article{arxiv.1003.4226,
title = {On Type II noncommutative geometry and the JLO character},
author = {Alan Lai},
journal= {arXiv preprint arXiv:1003.4226},
year = {2010}
}
Comments
31 pages, Latex2e