EXTENSIONS OF FACTORIAL STATES OF CSTAR-ALGEBRAS
Let A be a C*-algebra, B be a C*-subalgebra of A, and φ be a factorial state of B. Sometimes, φ may be extended to a factorial state of A by a tensor product method of Sakai ("C*-algebras and W*-algebras, Springer-Verlag, Berlin/Heidelberg/ New York 1971"). Sometimes, there is a weak expec...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
| Published: |
1985
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| Summary: | Let A be a C*-algebra, B be a C*-subalgebra of A, and φ be a factorial state of B. Sometimes, φ may be extended to a factorial state of A by a tensor product method of Sakai ("C*-algebras and W*-algebras, Springer-Verlag, Berlin/Heidelberg/ New York 1971"). Sometimes, there is a weak expectation of A into πφ(B), and then factorial extensions may be found by a method of Sakai and Tsui (Yokohama Math. J.29 (1981), 157-160). These two methods are shown to have the same effect, and the factorial extensions produced by them are analysed. © 1985. |
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