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Corpus ID: 119177600

Spectra of the Gamma-invariant of uniform modules

@article{Shelah2000SpectraOT,
title={Spectra of the Gamma-invariant of uniform modules},
author={Saharon Shelah and Jan Trlifaj},
journal={arXiv: Logic},
year={2000}
}

For a ring R, denote by Spec^R_kappa(Gamma) the kappa-spectrum of the Gamma-invariant of strongly uniform right R-modules. Recent realization techniques of Goodearl and Wehrung show that Spec^R_{aleph_1}(Gamma) is full for suitable von Neumann regular algebras R, but the techniques do not extend to cardinals kappa>aleph_1. By a direct construction, we prove that for any field F and any regular uncountable cardinal kappa there is an F-algebra R such that Spec^R_kappa(Gamma) is full. We also… Expand