An index theorem for Toeplitz operators on totally ordered groups
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- by Sriwulan Adji, Iain Raeburn and Anton Ströh PDF
- Proc. Amer. Math. Soc. 126 (1998), 2993-2998 Request permission
Abstract:
We show that for every totally ordered group $\Gamma$ and invertible function $f\in C(\widehat \Gamma )$ which does not have a logarithm, there is a representation in which the Toeplitz operator $T_f$ is a Breuer-Fredholm operator with nonzero index; this representation is the GNS-representation associated to a natural unbounded trace on the Toeplitz algebra $\mathcal T(\Gamma )$.References
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Additional Information
- Sriwulan Adji
- Affiliation: Department of Mathematics, Institut Teknologi Bandung, Ganesha 10, Bandung 40132, Indonesia
- Iain Raeburn
- Affiliation: Department of Mathematics, University of Newcastle, New South Wales 2308, Australia
- Email: iain@frey.newcastle.edu.au
- Anton Ströh
- Affiliation: Department of Mathematics, University of Pretoria, 0002 Pretoria, South Africa
- Received by editor(s): January 13, 1997
- Received by editor(s) in revised form: March 11, 1997
- Communicated by: Palle E. T. Jorgensen
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 2993-2998
- MSC (1991): Primary 46L55, 47B35
- DOI: https://doi.org/10.1090/S0002-9939-98-04616-4
- MathSciNet review: 1473651