On \(*\)-wild algebras (Q2711735)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On \(*\)-wild algebras |
scientific article |
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25 April 2001
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\(*\)-wild group
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free group
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group extension
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\(C^*\)-algebra
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On \(*\)-wild algebras (English)
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Denote by \(C^*(F)\) the group \(C^*\)-algebra of a discrete group \(F\). \( F\) is called \(*\)-wild if for some \(n\) there exists an epimorphism \(C^*(F) \to M_n(C^*(F_2)),\) where \(F_2\) is a free group with two generators. The author proposes two methods of constructing new examples of \(*\)-wild discrete groups, different from semi-direct products \(F\otimes G,\) where \(F\) is a \(*\)-wild group.NEWLINENEWLINEFor the entire collection see [Zbl 0937.00046].
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0.7466118931770325
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