16 citations · 99 across the 59 of their papers we have counts for
74 papers
On the -algebras of linear dynamical systems
Ingrid Beltita, Daniel Beltita
We verify the conjecture on continuous-trace subquotients for -algebras of nilpotent linear dynamical systems, where by linear dynamical system we mean a continuous action of…
Strong -rigidity of the Heisenberg groups
Ingrid Beltita, Daniel Beltita
We prove a strong rigidity property of the Heisenberg groups, that is, they can be distinguished from any other 1-connected Lie groups via their unitary dual spaces, in particular…
Invariant Hilbert spaces of distribution vectors in Lie group representations
Ingrid Beltita, Daniel Beltita
For every unitary irreducible representation of a Lie group we prove that the representation Hilbert space is the only nonzero invariant Hilbert space of distribution vectors.
Crowned Lie groups and nets of real subspaces
Daniel Beltita, Karl-Hermann Neeb
We introduce the notion of a complex crown domain for a connected Lie group , and we use analytic extensions of orbit maps of antiunitary representations to these domains to con…
The -algebras of completely solvable Lie groups are solvable
Ingrid Beltita, Daniel Beltita
We prove that if a connected and simply connected Lie group admits connected closed normal subgroups with for $j…
-rigidity of the Heisenberg group
Ingrid Beltita, Daniel Beltita
We prove that the Heisenberg groups can be distinguished from the other connected and simply connected Lie groups via their group -algebras. The main step of the proof is a ch…