Zobrazeno 1 - 10
of 21
pro vyhledávání: '"Jason Crann"'
Publikováno v:
Annales Henri Poincaré. 24:1779-1821
We introduce a notion of teleportation scheme between subalgebras of semi-finite von Neumann algebras in the commuting operator model of locality. Using techniques from subfactor theory, we present unbiased teleportation schemes for relative commutan
Autor:
Matthias Neufang, Jason Crann
Publikováno v:
International Mathematics Research Notices. 2022:3571-3601
We prove that a locally compact group has the approximation property (AP), introduced by Haagerup–Kraus [ 21], if and only if a non-commutative Fejér theorem holds for its associated $C^*$- or von Neumann crossed products. As applications, we answ
Publikováno v:
Crann, J, Kribs, D W, Levene, R & Todorov, I 2020, ' State Convertibility in the von Neumann Algebra Framework ', Communications in Mathematical Physics, vol. 378, pp. 1123–1156 . https://doi.org/10.1007/s00220-020-03803-3
We establish a generalisation of the fundamental state convertibility theorem in quantum information to the context of bipartite quantum systems modelled by commuting semi-finite von Neumann algebras. Namely, we establish a generalisation to this set
Publikováno v:
Journal of Mathematical Analysis and Applications. 472:176-195
We initiate the study of a new notion of duality defined with respect to the module Haagerup tensor product. This notion not only recovers the standard operator space dual for Hilbert $C^*$-modules, it also captures quantum group duality in a fundame
Autor:
Alex Bearden, Jason Crann
We introduce an equivariant version of the weak expectation property (WEP) at the level of operator modules over completely contractive Banach algebras $A$. We prove a number of general results---for example, a characterization of the $A$-WEP in term
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bea00b87cb01ea626a1c6cb7c9dd55f9
http://arxiv.org/abs/2009.05690
http://arxiv.org/abs/2009.05690
Autor:
Alex Bearden, Jason Crann
We establish several new characterizations of amenable $W^*$- and $C^*$-dynamical systems over arbitrary locally compact groups. In the $W^*$-setting we show that amenability is equivalent to (1) a Reiter property and (2) the existence of a certain n
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9f1e8a6bffced093c84565327f6d427c
Autor:
Jason Crann
Publikováno v:
Journal of Functional Analysis. 281:109070
We introduce notions of finite presentation and co-exactness which serve as qualitative and quantitative analogues of finite-dimensionality for operator modules over completely contractive Banach algebras. With these notions we begin the development
Autor:
Zsolt Tanko, Jason Crann
Publikováno v:
Journal of Functional Analysis. 273:2521-2545
We study various operator homological properties of the Fourier algebra $A(G)$ of a locally compact group $G$. Establishing the converse of two results of Ruan and Xu, we show that $A(G)$ is relatively operator 1-projective if and only if $G$ is IN,
Autor:
Jason Crann
Publikováno v:
Canadian Journal of Mathematics. 69:1064-1086
Building on our previous work, we study the non-relative homology of quantum group convolution algebras. Our main result establishes the equivalence of amenability of a locally compact quantum group $\mathbb{G}$ and 1-injectivity of $L^{\infty}(\wide
Autor:
Jason Crann, Mahmood Alaghmandan
Publikováno v:
Studia Mathematica. 239:225-247
This paper concerns the study of regular Fourier hypergroups through multipliers of their associated Fourier algebras. We establish hypergroup analogues of well-known characterizations of group amenability, introduce a notion of weak amenability for