Induced characters, Mackey analysis and primitive ideal spaces of nilpotent discrete groups
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In this article, the authors introduced and studied induced traces and developed a Mackey machine for characters in the group C * -algebra C * (G ) with the property that every faithful character vanishes outside the finite conjugacy class subgroup.About:
This article is published in Journal of Functional Analysis.The article was published on 2006-11-15 and is currently open access. It has received 10 citations till now. The article focuses on the topics: Discrete group & Nilpotent group.read more
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Characters of the group $\mathrm{EL}_d (R)$ for a commutative Noetherian ring $R$
Omer Lavi,Arie Levit +1 more
TL;DR: In this article, the Pontryagin dual group of a commutative Noetherian ring with unit was studied and it was shown that every character of the group was induced from a finite dimensional representation.
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Finitely generated nilpotent group C*-algebras have finite nuclear dimension
Caleb Eckhardt,Paul McKenney +1 more
TL;DR: In this article, it was shown that all C*-algebras generated by faithful irreducible representations of finitely generated, torsion free nilpotent groups satisfy the universal coefficient theorem.
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Quasidiagonal Representations of Nilpotent Groups
TL;DR: In this paper, it was shown that every unitary representation of a solvable discrete virtually nilpotent group G is quasidiagonal, i.e., it approximately decomposes as a direct sum of finite dimensional approximate representations.
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Quasidiagonal representations of nilpotent groups
TL;DR: In this article, it was shown that every unitary representation of a discrete solvable virtually nilpotent group G is quasidiagonal, i.e., it approximately decomposes as a direct sum of finite dimensional approximate representations.
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ZL-amenability and characters for the restricted direct products of finite groups
TL;DR: In this paper, it was shown that Z l 1 (G ) is abelian for all but finitely many i, and characterized the maximal ideals of G i which have bounded approximate identities.
References
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Book
Abstract Harmonic Analysis
Edwin Hewitt,Kenneth A. Ross +1 more
TL;DR: The first € price and the £ and $ price are net prices, subject to local VAT as discussed by the authors, and prices and other details are subject to change without notice. All errors and omissions excepted.
Book
A Course in the Theory of Groups
TL;DR: A detailed introduction to the theory of groups: finite and infinite; commutative and non-commutative is given in this article, where the reader is provided with only a basic knowledge of modern algebra.
Book
Compact convex sets and boundary integrals
TL;DR: In this paper, the authors present a representation of points by boundary measures on a compact convex set, and define a set of simplex with closed extreme boundary measures as a Choquet boundary.
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The local structure of twisted covariance algebras
TL;DR: In this article, it was shown that the space Prim G of primitive ideals of C*(G) is a standard Borel space in the Borel structure generated by the hull-kernel topology, and the space Gao r of quasi-equivalence classes of normal representations (traceable factor representations) of C *(G), shown by Halpern [35] to be standard in the Mackey Borel structures.
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A Hausdorff topology for the closed subsets of a locally compact non-Hausdorff space
TL;DR: In this paper, a topology for the space of all closed subsets of a topological space X of a given topology is constructed, which is called the H-topology.