Operator theory in the \(C^*\)-algebra framework

DOI10.1016/0034-4877(92)90025-VzbMath0793.46039MaRDI QIDQ1308498

Kazimierz Napiorkowski, Stanisław Lech Woronowicz

Publication date: 4 January 1994

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

functional calculus of normal elementsgeneralization of Stone and Nelson theoremsoperators affiliated with a \(C^*\)-algebrarepresentations of locally compact groups in a \(C^*\)-algebratensor product of affiliated elements is affiliated with the tensor product of corresponding algebras

Mathematics Subject Classification ID

(C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) General theory of (C^*)-algebras (46L05) Tensor products in functional analysis (46M05)

Related Items (26)

On the complexity of the description of *-algebra representations by unbounded operators ⋮ QUANTUM 'az + b' GROUP ON COMPLEX PLANE ⋮ Examples of non-compact quantum group actions ⋮ Unbounded operators on Hilbert C*-modules ⋮ SELF-ADJOINT OPERATORS AFFILIATED TO C*-ALGEBRAS ⋮ Rieffel deformation of group coactions ⋮ On the quantum `\(ax + b\)' group ⋮ Pseudodifferential extensions and adiabatic deformation of smooth groupoid actions ⋮ Poisson-Lie group structures on semidirect products ⋮ Duality and conditional expectations in the Nakajima-Mori-Zwanzig formulation ⋮ QCD on an infinite lattice ⋮ A local global principle for regular operators in Hilbert \(C^*\)-modules ⋮ The Heisenberg-Lorentz quantum group ⋮ Adiabatic groupoid, crossed product by \(\mathbb R_+^\ast\) and pseudodifferential calculus ⋮ On the unbounded picture of \(KK\)-theory ⋮ The κ-Poincaré group on a C∗-level ⋮ Unbounded elements affiliated with \(C^*\)-algebras and non-compact quantum groups ⋮ Quantum \(E(2)\) group and its Pontryagin dual ⋮ On self-adjoint extensions and symmetries in quantum mechanics ⋮ Unbounded multipliers on operator spaces ⋮ Groetsch's representation of Moore-Penrose inverses and ill-posed problems in Hilbert \(C^{*}\)-modules ⋮ Unbounded pseudodifferential calculus on Lie groupoids ⋮ QUANTUM 'ax + b' GROUP ⋮ The unbounded Kasparov product by a differentiable module ⋮ Hilbert \(C^*\) and \(W^*\)-modules and their morphisms ⋮ A new quantum deformation of `\(ax+b\)' group

Cites Work

• Analytic vectors
• Derivations, dissipations and group actions on \(C^ *\)-algebras
• Unbounded elements affiliated with \(C^*\)-algebras and non-compact quantum groups
• Representation of Elliptic Operators in an Enveloping Algebra
• Group C ∗ -Algebras as Algebras of "Continuous Functions" with Non-Commuting Variables
• Note on Continuous Representations of Lie Groups
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