## Representations of AF-Algebras and of the Group U. (infinite) |

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### Contents

CHAPTER I | 1 |

Ideals in AF algebras | 20 |

Some representations of AF algebras | 31 |

Copyright | |

6 other sections not shown

### Other editions - View all

Representations of AF-Algebras and of the Group U. (infinite) S.-V. Stratila,D.-V. Voiculescu Limited preview - 2006 |

Representations of AF-Algebras and of the Group U. (Infinite) S. V. Stratila,D. V. Voiculescu No preview available - 2014 |

### Common terms and phrases

associated Banach Spaces central Chapter Clearly closed two sided commutant compact completely conditional expectation consider construction contains continuous Conversely corresponding cyclic define denote dimensional direct limit dynamical system easy Edited elements equality equivalent ergodic exists extends fact factor representations finite follows function given hand Hence Hilbert space identified infer infinite invariant irreducible representations isomorphism known Lemma linear matrix units measure minimal projections Moreover natural Neumann algebra notations numbers obtain obvious operator permutation probability measure Proceedings Proof PROPOSITION prove quasi-invariant relation remark repre respect restriction satisfied sentations separable sequence sided ideal signature subalgebra subset sufficient Suppose symbol system of matrix tensor Theorem Theory tions topology unique unitarily equivalent unitary vector VIII