Local Proof of Algebraic Characterization of Free Actions
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Local Proof of Algebraic Characterization of Free Actions
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| Creator |
Baum, P.F.
Hajac, P.M. |
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| Description |
Let G be a compact Hausdorff topological group acting on a compact Hausdorff topological space X. Within the C∗-algebra C(X) of all continuous complex-valued functions on X, there is the Peter-Weyl algebra PG(X) which is the (purely algebraic) direct sum of the isotypical components for the action of G on C(X). We prove that the action of G on X is free if and only if the canonical map PG(X)⊗C(X/G)PG(X)→PG(X)⊗O(G) is bijective. Here both tensor products are purely algebraic, and O(G) denotes the Hopf algebra of ''polynomial'' functions on G.
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| Date |
2019-02-10T19:06:55Z
2019-02-10T19:06:55Z 2014 |
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| Type |
Article
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| Identifier |
Local Proof of Algebraic Characterization of Free Actions / P.F. Baum, P.M. Hajac // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 10 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 22C05; 55R10; 57S05; 57S10 DOI:10.3842/SIGMA.2014.060 http://dspace.nbuv.gov.ua/handle/123456789/146694 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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