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An extension of Mackey's method to Banach *-algebraic bundles
The main object of the present memoir is to show that the methods and results of Mackey (1958) and Blattner (1963) on the group extension representation problem go through without any essential change in the larger context of homogeneous Banach *-algebraic bundles (with enough cross sections). In or...
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Providence,
American Mathematical Society,
1969.
|
| Colección: | Memoirs of the American Mathematical Society ;
no. 90. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Fell, J. M. G. |q (James Michael Gardner), |d 1923- |1 https://id.oclc.org/worldcat/entity/E39PBJvMBYxCwBjbGRyHDRwBfq | |
| 245 | 1 | 3 | |a An extension of Mackey's method to Banach *-algebraic bundles |c by J.M.G. Fell. |
| 260 | |a Providence, |b American Mathematical Society, |c 1969. | ||
| 300 | |a 1 online resource (168 pages) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Memoirs of the American Mathematical Society, |v no. 90 | |
| 500 | |a Cover title. | ||
| 504 | |a Includes bibliographical references (pages 166-168). | ||
| 588 | 0 | |a Print version record. | |
| 506 | |3 Use copy |f Restrictions unspecified |2 star |5 MiAaHDL | ||
| 533 | |a Electronic reproduction. |b [Place of publication not identified] : |c HathiTrust Digital Library, |d 2014. |5 MiAaHDL | ||
| 538 | |a Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. |u http://purl.oclc.org/DLF/benchrepro0212 |5 MiAaHDL | ||
| 583 | 1 | |a digitized |c 2014 |h HathiTrust Digital Library |l committed to preserve |2 pda |5 MiAaHDL | |
| 505 | 0 | 0 | |t Introduction |t Part I |t 1. Banach bundles |t 2. Integration in Banach bundles over locally compact spaces |t 3. Banach *-algebraic bundles |t 4. Multipliers |t 5. The strong topology of the multiplier bundle |t 6. Homogeneous Banach *-algebraic bundles |t 7. Representations |t 8. The cross-sectional algebra |t 9. The structure of homogeneous Banach *-algebraic bundles |t 10. Examples |t Part II |t 11. Induced representations |t 12. Inducing in stages |t 13. Systems of imprimitivity |t 14. The imprimitivity algebra |t 15. The imprimitivity theorem |t 16. The bundle generalization of the Mackey-Blattner "subgroup analysis" |t 17. The Mackey obstruction; final results |t Appendix. The Glimm projection-valued measure. |
| 546 | |a English. | ||
| 520 | |a The main object of the present memoir is to show that the methods and results of Mackey (1958) and Blattner (1963) on the group extension representation problem go through without any essential change in the larger context of homogeneous Banach *-algebraic bundles (with enough cross sections). In order to dispense with separability we shall follow the topological methods of Blattner rather than Mackey's more detailed measure-theoretic analysis. Except for the last section, Part II of this memoir is in fact a rewriting of much of Blattner's papers (1963), making the modifications necessary in the larger context of bundles. The last Section 17 gives an account of the 'Mackey obstruction' in the nonseparable case, leading to an analogue (Theorem 17.2) of Theorem 8.2 of Mackey's paper for homogeneous Banach *-algebraic bundles, without separability restrictions. This is the culminating point of the present memoir. | ||
| 590 | |a ProQuest Ebook Central |b Ebook Central Academic Complete | ||
| 650 | 0 | |a Banach algebras. | |
| 650 | 0 | |a Group theory. | |
| 650 | 6 | |a Algèbres de Banach. | |
| 650 | 6 | |a Théorie des groupes. | |
| 650 | 7 | |a 31.46 functional analysis. |0 (NL-LeOCL)077602005 |2 bcl | |
| 650 | 7 | |a Banach algebras |2 fast | |
| 650 | 7 | |a Group theory |2 fast | |
| 650 | 1 | 7 | |a Banach-algebra's. |2 gtt |
| 758 | |i has work: |a An extension of Mackey's method to Banach *-algebraic bundles (Text) |1 https://id.oclc.org/worldcat/entity/E39PCGxKMfrrJwcvwrMgVGBJcK |4 https://id.oclc.org/worldcat/ontology/hasWork | ||
| 776 | 0 | 8 | |i Print version: |a Fell, J.M.G. (James Michael Gardner), 1923- |t Extension of Mackey's method to Banach *-algebraic bundles. |d Providence, American Mathematical Society, 1969 |w (DLC) 89012362 |w (OCoLC)1318857 |
| 830 | 0 | |a Memoirs of the American Mathematical Society ; |v no. 90. | |
| 856 | 4 | 0 | |u https://ebookcentral.uam.elogim.com/lib/uam-ebooks/detail.action?docID=3113675 |z Texto completo |
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