Twisted crossed products ofC*-algebras. II
β Scribed by Judith A. Packer; Iain Raeburn
- Publisher
- Springer
- Year
- 1990
- Tongue
- English
- Weight
- 1016 KB
- Volume
- 287
- Category
- Article
- ISSN
- 0025-5831
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π SIMILAR VOLUMES
We investigate the problem of explicitly constructing non-cyclic free groups in finite-dimensional crossed products using valuation criteria. The results are applied to produce explicit free groups in division algebras generated by nilpotent groups, and symmetric free groups in group rings of finite
Let F be an arbitrary field and let D be a division algebra having center F which is finite dimensional over F. In general, there need not exist a maximal subfield E of D which is Galois over F. If such an E exists, we Ε½ call D a crossed product or G G-crossed product if G G is the Galois group of .