Abstract
We give a finite-dimensional and geometric construction of a Chern character for twisted K-theory, introducing a notion of connection on a twisted vectorial bundle which can be considered as a finite-dimensional approximation of a twisted family of Fredholm operators. Our construction is applicable to the case of any classes giving the twisting, and agrees with the Chern character of bundle gerbe modules in the case of torsion classes.
Original language | English |
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Pages (from-to) | 225-254 |
Number of pages | 30 |
Journal | Communications in Mathematical Physics |
Volume | 299 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2010 Jun 25 |
Externally published | Yes |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics