- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:05:00
Groups, Geometry, and Dynamics
Groups Geom. Dyn.
GGD
1661-7207
1661-7215
Group theory and generalizations
10.4171/GGD
http://www.ems-ph.org/doi/10.4171/GGD
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European Mathematical Society Publishing House
Zuerich, Switzerland
© European Mathematical Society
8
2014
3
Countable degree-1 saturation of certain $C$*-algebras which are coronas of Banach algebras
Dan-Virgil
Voiculescu
University of California, BERKELEY, UNITED STATES
Countable degree-1 saturation, symmetrically normed ideal, Calkin algebra, quasicentral approximate unit, bidual Banach algebra
We study commutants modulo some normed ideal of $n$-tuples of operators which satisfy a certain approximate unit condition relative to the ideal. We obtain results about the quotient of these Banach algebras by their ideal of compact operators being $C$*-algebras which have the countable degree-1 saturation property in the model-theory sense of I. Farah and B. Hart. We also obtain results about quasicentral approximate units, multipliers and duality.
Functional analysis
Operator theory
985
1006
10.4171/GGD/254
http://www.ems-ph.org/doi/10.4171/GGD/254