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AF-embeddability of crossed products of Cuntz algebras

✍ Scribed by Takeshi Katsura


Book ID
108344135
Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
208 KB
Volume
196
Category
Article
ISSN
0022-1236

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AF Embeddability of Crossed Products of
✍ Hiroki Matui πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 229 KB

We will show that the crossed products of unital simple real rank zero AT algebras by the integers are AF embeddable. This is a generalization of Brown's AF embedding theorem. As an application, we will prove the AF embeddability of crossed product algebras arising from certain minimal dynamical sys

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✍ Eric S. Brussel πŸ“‚ Article πŸ“… 1996 πŸ› Elsevier Science 🌐 English βš– 317 KB

We show that division algebras do not always embed in crossed product division algebras, so the latter do not serve as ''Galois closures'' for division algebras. We construct decomposable noncrossed product division algebras of prime-power index over rational function fields and Laurent series field