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On factor states of 𝐶*-algebras and their extensions

Authors :
Cho-Ho Chu
Masaharu Kusuda
Source :
Proceedings of the American Mathematical Society. 124:207-215
Publication Year :
1996
Publisher :
American Mathematical Society (AMS), 1996.

Abstract

We obtain some results on the unique extension of (factor) states of C ∗ C^* -algebras which complement various existing results. Our results also lead to a class of C ∗ C^* -algebras whose states are σ \sigma -convex sums of factor states.

Details

ISSN :
10886826 and 00029939
Volume :
124
Database :
OpenAIRE
Journal :
Proceedings of the American Mathematical Society
Accession number :
edsair.doi...........294316b661dcae5a93d8cb05e1d8bff4
Full Text :
https://doi.org/10.1090/s0002-9939-96-03026-2