A few remarks on exact C(X)-algebras
Etienne Blanchard
TL;DR
This paper extends existing results on continuous fields of C*-algebras to semi-continuous cases, offering new characterizations and criteria for C(X)-algebras and related structures.
Contribution
It introduces a new characterization of separable lower semi-continuous C*-bundles and provides exactness criteria for C(X)-algebras and unital bisimplifiable Hopf C*-algebras.
Findings
New characterization of semi-continuous C*-bundles
Exactness criteria for C(X)-algebras
Extension of results to semi-continuous case
Abstract
We extend in this paper several results of E. Kirchberg, S. Wassermann and the author dealing with continuous fields of C*--algebras to the semi-continuous case. We provide a new characterisation of separable lower semi-continuity C*--bundles and we present exactness criteria for C(X)-algebras and unital bisimplifiable Hopf \cst-algebras.
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Taxonomy
TopicsAdvanced Operator Algebra Research · Advanced Banach Space Theory · Advanced Topics in Algebra