Completely positive maps into corona algebras-Reference-Cited by-同舟云学术

Completely positive maps into corona algebras

Published:2009-09 Issue:2 Volume:147 Page:323-337
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

KUCEROVSKY DAN Z.,NG P. W.

Abstract

AbstractWe prove a decomposition theorem similar to the well-known result of Voiculescu's: namely that completely positive maps A →

(B)/B factor through a given homomorphism ι: A →

(B)/B when the homomorphism ι has a certain infiniteness property.The algebra B is only assumed to be separable and nonunital; in particular, it is not assumed to be stable. The C*-algebra A is assumed to be separable, unital and nuclear.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

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