Simple quotients of group $C^*$-algebras for two step nilpotent groups and connected Lie groups

DOI10.24033/asens.1444zbMath0523.22007OpenAlexW2602713613WikidataQ115228375 ScholiaQ115228375MaRDI QIDQ3035704

Detlev Poguntke

Publication date: 1983

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1983_4_16_1_151_0

zbMATH Keywords

prime idealtracesprimitive idealK-theory of C*-algebrasgroup C*-algebraimprimitivity algebrastwisted convolution algebrasequivalence classes of unitary strongly continuous irreducible factor representationslocally algebraic groupstwo step nilpotent groups

Mathematics Subject Classification ID

(C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Unitary representations of locally compact groups (22D10) Induced representations for locally compact groups (22D30) Decomposition theory for (C^*)-algebras (46L45)

Related Items (6)

The structure of group \(C^*\)-algebras of the generalized Dixmier groups ⋮ The local multiplier algebra of a C\(^*\)-algebra. II ⋮ On the stable rank of algebras of operator fields over metric spaces ⋮ Equivalence Bimodule Between Non-Commutative Tori ⋮ AF‐embeddability for Lie groups with T1 primitive ideal spaces ⋮ Langlands reciprocity for the even-dimensional noncommutative tori

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