12 citations · 53 across the 36 of their papers we have counts for
14 papers · 1 filter
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…
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…
A note on ideal spaces of Mautner groups
Ingrid Beltita, Daniel Beltita
The Mautner groups are the 5-dimensional solvable Lie groups that have non-type-I factor representations. We show that their corresponding group -algebras are quasi-standard a…
On stably finiteness for -algebras of exponential solvable Lie groups
Ingrid Beltita, Daniel Beltita
We study the link between stably finiteness and stably projectionless-ness for -algebras of solvable Lie groups. We show that these two properties are equivalent if the dimens…
Traces of -algebras of connected solvable groups
Ingrid Beltita, Daniel Beltita
We give an explicit description of the tracial state simplex of the -algebra of an arbitrary connected, second countable, locally compact, solvable group . We show…