Zobrazeno 1 - 10
of 106
pro vyhledávání: '"OMLAND, TRON"'
Autor:
Haugland, Jan Kristian, Omland, Tron
We investigate shift-invariant vectorial Boolean functions on $n$~bits that are lifted from Boolean functions on $k$~bits, for $k\leq n$. We consider vectorial functions that are not necessarily permutations, but are, in some sense, almost bijective.
Externí odkaz:
http://arxiv.org/abs/2407.11931
We prove that the topology on the density space with respect to a unital C*-algebra and a faithful induced by the C*-norm is finer than the Bures metric topology. We also provide an example when this containment is strict. Next, we provide a metric o
Externí odkaz:
http://arxiv.org/abs/2406.07219
We prove a version of Pedersen's outer conjugacy theorem for coactions of compact groups, which characterizes outer conjugate coactions of a compact group in terms of properties of the dual actions. In fact, we show that every isomorphism of a dual a
Externí odkaz:
http://arxiv.org/abs/2212.10379
Autor:
Bédos, Erik, Omland, Tron
Publikováno v:
Journal of Functional Analysis 284 (2023), 109795 (31 pages)
We study C*-irreducibility of inclusions of reduced twisted group C*-algebras and of reduced group C*-algebras. We characterize C*-irreducibility in the case of an inclusion arising from a normal subgroup, and exhibit many new examples of C*-irreduci
Externí odkaz:
http://arxiv.org/abs/2203.16998
Autor:
Omland, Tron, Stanica, Pantelimon
In this paper, we investigate permutation rotation-symmetric (shift-invariant) vectorial Boolean functions on $n$ bits that are liftings from Boolean functions on $k$ bits, for $k\leq n$. These functions generalize the well-known map used in the curr
Externí odkaz:
http://arxiv.org/abs/2203.00778
We generalize Feichtinger and Kaiblinger's theorem on linear deformations of uniform Gabor frames to the setting of a locally compact abelian group $G$. More precisely, we show that Gabor frames over lattices in the time-frequency plane of $G$ with w
Externí odkaz:
http://arxiv.org/abs/2001.07080
This is a follow-up to a paper with the same title and by the same authors. In that paper, all groups were assumed to be abelian, and we are now aiming to generalize the results to nonabelian groups. The motivating point is Pedersen's theorem, which
Externí odkaz:
http://arxiv.org/abs/1812.09939
Autor:
Bédos, Erik, Omland, Tron
Publikováno v:
In Journal of Functional Analysis 1 March 2023 284(5)
We study C*-algebras generated by left regular representations of right LCM one-relator monoids and Artin-Tits monoids of finite type. We obtain structural results concerning nuclearity, ideal structure and pure infiniteness. Moreover, we compute K-t
Externí odkaz:
http://arxiv.org/abs/1807.08288
Autor:
Omland, Tron
The free nilpotent group $G_{m,n}$ of class $m$ and rank $n$ is the free object on $n$ generators in the category of nilpotent groups of class at most $m$. We show that $G_{m,n}$ can be recovered from its reduced group $C^*$-algebra, in the sense tha
Externí odkaz:
http://arxiv.org/abs/1803.10208