On factor states of 𝐶*-algebras and their extensions

Author:

Chu Cho-Ho,Kusuda Masaharu

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.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference25 articles.

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2. J. Andersen, Extension, restrictions and representations of states on 𝐶*-algebras, Trans. Amer. Math. Soc. 249 (1979), 303–329.

3. Stone-Weierstrass theorems for separable 𝐶*-algebras;Anderson, Joel;J. Operator Theory,1981

4. Extensions of states of 𝐶*-algebras;Archbold, R. J.;J. London Math. Soc. (2),1980

5. On factorial states of operator algebras;Archbold, R. J.;J. Funct. Anal.,1984

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