A Cancellation Theorem for Modules Over the Group C*-Algebras of Certain Nilpotent Lie Groups

DOI10.4153/CJM-1987-018-7zbMath0692.46064WikidataQ115215198 ScholiaQ115215198MaRDI QIDQ3034366

Albert Jeu-Liang Sheu

Publication date: 1987

Published in: Canadian Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

cancellationconnected stable rank of a stable \(C^*\)-algebragenerated projective modulesgroup \(C^*\)-algebra of a nilpotent Lie groupprojection modules

Mathematics Subject Classification ID

(K)-theory and operator algebras (including cyclic theory) (46L80) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) Nilpotent and solvable Lie groups (22E25)

Related Items (17)

THE CONNECTED STABLE RANK FOR BANACH _*-ALGEBRAS INVOLVING ISOMETRIES ⋮ The stable rank of pullbacks ⋮ Stable ranks of split extensions of Banach algebras ⋮ The structure of group \(C^*\)-algebras of the generalized Dixmier groups ⋮ Projective Modules Over Quantum Projective Line ⋮ Stable rank and real rank for some classes of group 𝐶*-algebras ⋮ Non-stable \(K\)-theory and extremally rich \(C^\ast\)-algebras ⋮ The general stable rank in nonstable \(K\)-theory ⋮ Homotopical stable ranks for Banach algebras ⋮ Stable rank of some noncommutative manifolds ⋮ Structure of group \(C^*\)-algebras of the generalized disconnected Mautner groups ⋮ On higher real and stable ranks for $CCR$ $C^*-$algebras ⋮ Vector bundles over multipullback quantum complex projective spaces ⋮ Pullback and pushout constructions in \(C^*\)-algebra theory ⋮ Stable rank of \(C^*\)-algebras of type I ⋮ Stable rank of \(C^*\)-algebras of continuous fields ⋮ Symmetries on the discrete Heisenberg group C*-algebra

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