Actions of finite groups on $C^*$-algebras.
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Publication:3917036
DOI10.7146/math.scand.a-11882zbMath0465.46052OpenAlexW2289243780MaRDI QIDQ3917036
Publication date: 1980
Published in: MATHEMATICA SCANDINAVICA (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/166720
prime idealsfixed point subalgebraConnes spectrumtype I C*-algebraC*-algebra crossed productdouble centraliser algebrageneralised inner automorphismspartly inner automorphisms
General theory of (C^*)-algebras (46L05) Representations of groups as automorphism groups of algebraic systems (20F29) Ideals and multiplicative ideal theory in commutative rings (13A15)
Related Items (16)
Simple and prime crossed products of \(C^*\)-algebras by compact quantum group coactions ⋮ Geometric \(K\)-homology and the Freed-Hopkins-Teleman theorem ⋮ Locally compact group actions on \(C^ *\)-algebras and compact subgroups ⋮ Permanence properties for crossed products and fixed point algebras of finite groups ⋮ Crossed products, the weak ideal property, and topological dimension zero ⋮ On the Connes-Kasparov isomorphism. I: The reduced \(\mathrm{C}^*\)-algebra of a real reductive group and the \(K\)-theory of the tempered dual. ⋮ Symmetry in the Cuntz algebra on two generators ⋮ Symmetries of the \(C^\ast \)-algebra of a vector bundle ⋮ Aperiodicity, topological freeness and pure outerness: from group actions to Fell bundles ⋮ Polynomial representations of \(C^\ast\)-algebras and their applications ⋮ The Cuntz semigroup and the radius of comparison of the crossed product by a finite group ⋮ Riesz bases associated with regular representations of semidirect product groups ⋮ Decomposable partial actions ⋮ Compact group actions on \(C^*\)-algebras: An application of non- commutative duality ⋮ Chain conditions for \(C^\ast\)-algebras coming from Hilbert \(C^\ast\)-modules ⋮ Spectra for compact quantum group coactions and crossed products
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