Centre-valued index for Toeplitz operators with noncommuting symbols
Operator Algebras
2019-08-15 v1
Abstract
We consider an action of the real line on a C*-algebra for which there is a centre-valued invariant trace. We define a family of Toeplitz operators with symbols in the original algebra. When the symbol is invertible, the Toeplitz operator is Fredholm in an appropriate sense, and we give a formula for the index using a notion of centre-valued winding number defined using the trace. The results and techniques generalise previous results of the authors for scalar-valued traces.
Cite
@article{arxiv.1501.06983,
title = {Centre-valued index for Toeplitz operators with noncommuting symbols},
author = {John Phillips and Iain Raeburn},
journal= {arXiv preprint arXiv:1501.06983},
year = {2019}
}