Bimodules, spectra, and Fell bundles

Citation
I. Fulman et Ps. Muhly, Bimodules, spectra, and Fell bundles, ISR J MATH, 108, 1998, pp. 193-215
Citations number
18
Categorie Soggetti
Mathematics
Journal title
ISRAEL JOURNAL OF MATHEMATICS
ISSN journal
00212172 → ACNP
Volume
108
Year of publication
1998
Pages
193 - 215
Database
ISI
SICI code
0021-2172(1998)108:<193:BSAFB>2.0.ZU;2-7
Abstract
Let E be a Fell bundle over an r-discrete principal groupoid Gamma that is measurewise amenable with respect to every quasi-invariant measure on Gamma ((0)). Let C*(E) be the corresponding C*-algebra and let C-0(E-0) be the di agonal subalgebra. The Spectral Theorem on Bimodules proved in this pager g ives a description of C-0(E-0)-bimodules in C*(E).