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G-central subalgebras, and extensions of KMS states

โœ Scribed by C.J.K Batty

Publisher
Elsevier Science
Year
1986
Tongue
English
Weight
465 KB
Volume
66
Category
Article
ISSN
0022-1236

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Extensions of Pure States and Projection
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โœ R.J. Archbold ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 159 KB

We show that the extension property for pure states of a C\*-subalgebra B of a C\*-algebra A leads to the existence of a projection of norm one R: A ร„ B in the case where B is liminal with Hausdorff primitive ideal space. Furthermore, R is given by a ``Dixmier process'' in which the averaging is eff