Strongly asymptotic morphisms on separable metrisable algebras

DOI10.1006/JFAN.2000.3651zbMath0983.46041OpenAlexW2087522764MaRDI QIDQ1589667

Edwin J. Beggs

Publication date: 7 April 2002

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.2000.3651

zbMATH Keywords

asymptoticssuspensioninvolutionhomotopyexact sequencemorphismLindelöf principleasymptotic equivalencelocally convexasymptotic morphismsasymptotic integralcategory of separable \(C^{*}\)-algebrascompatability of compositionscontinuous fields of \(C^{*}\)-algebrasmetrisable algebrapointwise bounded asymptotic morphismsseparable metrisable algebrasstrong asymptotic continuity

Mathematics Subject Classification ID

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) (K)-theory and operator algebras (including cyclic theory) (46L80) General theory of (C^*)-algebras (46L05) General theory of locally convex spaces (46A03)

Cites Work

• Unnamed Item
• Non-commutative differential geometry
• Cyclic cohomology for one-parameter smooth crossed products
• A note on asymptotic homomorphisms
• Nonstable \(K\)-theory for operator algebras
• The Atiyah-Singer index theorem as passage to the classical limit in quantum mechanics
• K-THEORY FOR FRÉCHET ALGEBRAS
• Representable K-Theory of Smooth Crossed Products by ℝ and ℤ

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