SPECTRAL INVARIANCE OF DENSE SUBALGEBRAS OF OPERATOR ALGEBRAS

DOI10.1142/S0129167X93000157zbMath0804.46081arXivfunct-an/9211009OpenAlexW2116020431MaRDI QIDQ3142010

Larry B. Schweitzer

Publication date: 24 January 1995

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

Full work available at URL: https://arxiv.org/abs/funct-an/9211009

zbMATH Keywords

exact sequencesSchwartz functionssubalgebrasnilpotent Lie groups\(C^*\)-crossed productMautner groupsmooth crossed product\(C^*\)-algebras associated with dynamical systemsgroup of Euclidean motions on the planestrong spectral invariance for a dense Fréchet subalgebratensoring by smooth compact operators

Mathematics Subject Classification ID

Noncommutative dynamical systems (46L55) (L^1)-algebras on groups, semigroups, etc. (43A20)

Related Items (30)

Decomposition of self-adjoint mappings acting on the noncommutative Schwartz space ⋮ There are no topologically transitive operators in the noncommutative Schwartz space ⋮ An index formula for groups of isometric linear canonical transformations ⋮ Asymptotic invariants of finitely generated algebras. A generalization of Gromov's quasi-isometric viewpoint. ⋮ Spectral invariance of smooth crossed products, and rapid decay locally compact groups ⋮ Self-derivations on the noncommutative Schwartz space ⋮ \(K\)-theory of noncommutative Bieberbach manifolds ⋮ Eta-invariants for parameter-dependent operators associated with an action of a discrete group ⋮ One-sided ideals of the non-commutative Schwartz space ⋮ Callias-type operators associated to spectral triples ⋮ Index of elliptic boundary value problems associated with isometric group actions ⋮ Index of twisted elliptic boundary value problems associated with isometric group actions ⋮ Smooth subalgebras of the Roe algebra ⋮ THE NON-COMMUTATIVE SCHWARTZ SPACE IS WEAKLY AMENABLE ⋮ Noncommutative elliptic theory. Examples ⋮ Automatic continuity and amenability in the non-commutative Schwartz space ⋮ Elliptic boundary value problems associated with isometric group actions ⋮ On the index of nonlocal elliptic operators ⋮ Tracing cyclic homology pairings under twisting of graded algebras ⋮ Quantum double suspension and spectral triples ⋮ Topological \(^*\)-algebras with \(C^*\)-enveloping algebras. II ⋮ On the index formula for an isometric diffeomorphism ⋮ Regularity and dimension spectrum of the equivariant spectral triple for the odd-dimensional quantum spheres ⋮ Enveloping \(\sigma\)-\(C^*\)-algebra of a smooth Fréchet algebra crossed product by \(\mathbb R\), \(K\)-theory and differential structure in \(C^*\)-algebras ⋮ Index of nonlocal elliptic operators over \(C^*\)-algebras ⋮ Sobolev problems with spherical mean conditions and traces of quantized canonical transformations ⋮ Pseudodifferential calculus on noncommutative tori, I. Oscillating integrals ⋮ A JORDAN-LIKE DECOMPOSITION IN THE NONCOMMUTATIVE SCHWARTZ SPACE ⋮ Equivalence of two approaches to Yang-Mills on noncommutative torus ⋮ Spectral invariant subalgebras of reduced crossed product \(C^*\)-algebras

This page was built for publication: SPECTRAL INVARIANCE OF DENSE SUBALGEBRAS OF OPERATOR ALGEBRAS