Projections in \(C^*\)-algebras of nilpotent groups

DOI10.1007/BF01168369zbMath0678.43005OpenAlexW1971582902MaRDI QIDQ1124082

Keith F. Taylor, Eberhard Kaniuth

Publication date: 1989

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/155428

zbMATH Keywords

projections\(C^*\)-algebracenternilpotent groupstorsion groupminimal projectionsintegrable representationsorthogonal sumself-adjoint idempotents\(L^ 1\)-algebraalmost connected locally compact groupfinite central subgroup

Mathematics Subject Classification ID

Nilpotent groups (20F18) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) General theory of (C^*)-algebras (46L05) (L^1)-algebras on groups, semigroups, etc. (43A20)

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Compact open sets in duals and projections inL¹-algebras of certain semi-direct product groups, Can one hear the shape of a group?, On the spectrum of a random walk on the discrete Heisenberg group and the norm of Harper's operator, \({C}^{\ast}\)-superrigidity of 2-step nilpotent groups, Standard shearlet group in arbitrary space dimensions and projections in its \(L^1\)-algebra, Projections in 𝐿¹(𝐺): the unimodular case, Compact open sets in dual spaces and projections in group algebras of \([FC^{-}\) groups]

Cites Work

• C*-algebras, positive scalar curvature, and the Novikov conjecture
• Prime ideals in the \(C^*\)-algebra of a nilpotent group
• On a Conjecture of Littlewood and Idempotent Measures
• The role of minimal idempotents in the representation theory of locally compact groups
• Groups with Finite Dimensional Irreducible Representations
• Idempotents in group rings
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