The kernel of the determinant map on certain simple C*-algebras
Operator Algebras
2012-06-28 v1
Abstract
Let A be a unital separable simple C*-algebra such that either (1) A has real rank zero, strict comparison and cancellation or (2) A is TAI. We study the kernel of the de la Harpe--Skandalis determinant on GL^0(A), proving that the determinant vanishes exactly on elements which are products of 8 multiplicative commutators. We also have results for the unitary case.
Keywords
Cite
@article{arxiv.1206.6168,
title = {The kernel of the determinant map on certain simple C*-algebras},
author = {P. W. Ng},
journal= {arXiv preprint arXiv:1206.6168},
year = {2012}
}