## Abstract

Let G be the free product of N groups each having order k ≤ N and let A be the maximal abelian subalgebra of the group von Neumann algebra L(G), called the radial algebra of G. The Pukánszky invariant of the abelian algebra A=(A ∨ JAJ)″ is computed in this case. If N ≥ 3, A is isomorphic to A ⊕ (A ⊗ A) and A is singular. If N = k = 2, A is isomorphic to A ⊕ A and A is a Cartan subalgebra.

Original language | English (US) |
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Pages (from-to) | 138-159 |

Number of pages | 22 |

Journal | Journal of Functional Analysis |

Volume | 103 |

Issue number | 1 |

DOIs | |

State | Published - Jan 1992 |

Externally published | Yes |

## ASJC Scopus subject areas

- Analysis

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