Smoothing operators and C∗-algebras for infinite dimensional Lie groups
DOI10.1142/S0129167X17500422zbMath1368.22013arXiv1505.02659OpenAlexW2962986645WikidataQ115246515 ScholiaQ115246515MaRDI QIDQ5269893
Christoph Zellner, Hadi Salmasian, Karl-Hermann Neeb
Publication date: 28 June 2017
Published in: International Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1505.02659
unitary representationmultiplier algebrasmoothing operatorinfinite dimensional Lie groupsmooth vectorhost algebra
Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Representations of Lie and linear algebraic groups over real fields: analytic methods (22E45)
Related Items (4)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Differentiable vectors and unitary representations of Fréchet-Lie supergroups
- Oscillator algebras with semi-equicontinuous coadjoint orbits
- Semibounded unitary representations of double extensions of Hilbert-loop groups
- On differentiable vectors for representations of infinite dimensional Lie groups
- Analytic vectors
- A complex semigroup approach to group algebras of infinite dimensional Lie groups
- Semibounded representations and invariant cones in infinite dimensional Lie algebras
- Towards a Lie theory of locally convex groups
- On a complex semigroup containing the group of diffeomorphisms of a circle
- Integrating unitary representations of infinite-dimensional Lie groups
- Covariant central extensions of gauge Lie algebras
- Holomorphy and convexity in Lie theory
- Lie group structures on quotient groups and universal complexifications for infinite-dimensional Lie groups
- Crossed products of \(C^\ast\)-algebras for singular actions
- Time-ordered operator products of sharp-time quadratic forms
- On the characterization of trace class representations and Schwartz operators
- Classification of Positive Energy Representations of the Virasoro Group
- Norm Continuous Unitary Representations of Lie Algebras of Smooth Sections
- HOLOMORPHIC EXTENSIONS OF REPRESENTATIONS OF THE GROUP OF DIFFEOMORPHISMS OF THE CIRCLE
- Semi-bounded unitary representations of infinite-dimensional Lie groups
- The inverse function theorem of Nash and Moser
- Smooth vectors for highest weight representations
- Complex Semigroups for Oscillator Groups
- Reproducing Kernels and Positivity of Vector Bundles in Infinite Dimensions
- Polynomials and multilinear mappings in topological vector-spaces
- GENERALISING GROUP ALGEBRAS
- Crossed product algebras and direct integral decomposition for Lie supergroups
This page was built for publication: Smoothing operators and C∗-algebras for infinite dimensional Lie groups