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[parent] topologically irreducible representations are algebrically irreducible for $C^*$-algebras (Theorem)
TopologicallyIrreducibleRepresentationsAreAlgebricallyIrreducibleForCAlgebras

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proof of topologically irreducible representations are algebraically irreducible for $C^*$-algebras (Proof) by karstenb
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Cross-references: converse, topologically irreducible, Banach *-algebra, algebrically irreducible, theorem

This is version 1 of topologically irreducible representations are algebrically irreducible for $C^*$-algebras, born on 2007-08-09.
Object id is 9846, canonical name is TopologicallyIrreducibleRepresentationsAreAlgebricallyIrreducibleForCAlgebras.
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Classification:
AMS MSC46L05 (Functional analysis :: Selfadjoint operator algebras :: General theory of $C^*$-algebras)

Pending Errata and Addenda
1. minor typo by karstenb on 2009-09-17 14:07:53
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