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Yousefi, Azam; Mardanbeigi, Mohammad R.; Amini, Massoud

Toms-Winter conjecture for \(C^\ast\)-modules. (English) Zbl 07719221

Ann. Funct. Anal. 14, No. 3, Paper No. 67, 15 p. (2023).
Summary: We prove a module version of Toms-Winter conjecture for a class of \(C^\ast\)-algebras which are \(C^\ast\)-modules on another \(C^\ast\)-algebra with compatible actions.

MSC:

47A58 Linear operator approximation theory
46L08 \(C^*\)-modules
15A15 Determinants, permanents, traces, other special matrix functions

Keywords:

\(C^\ast\)-module; module nuclear dimension; module strict comparison; module \(\mathcal{Z}\)-stability; module Toms-Winter conjecture
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Full Text: DOI

References:

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