Zobrazeno 1 - 10
of 47
pro vyhledávání: '"Christopher Ramsey"'
Autor:
Elias G. Katsoulis, Christopher Ramsey
Publikováno v:
Forum of Mathematics, Sigma. 10
We resolve the isomorphism problem for tensor algebras of unital multivariable dynamical systems. Specifically, we show that unitary equivalence after a conjugation for multivariable dynamical systems is a complete invariant for complete isometric is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::f196ee3587af58634b41277a7ac93556
https://doi.org/10.1017/fms.2022.73
https://doi.org/10.1017/fms.2022.73
Autor:
Christopher Ramsey, Adam Reeves
Publikováno v:
Integral Equations and Operator Theory. 93
We define a p-norm in the context of quantum random variables, measurable operator-valued functions with respect to a positive operator-valued measure. This norm leads to a operator-valued $$L^p$$ space that is shown to be complete. Various other nor
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2dda5dc1f1d51c84698461ab6636169d
https://doi.org/10.1007/s00020-021-02669-x
https://doi.org/10.1007/s00020-021-02669-x
Autor:
Christopher Ramsey, Elias G. Katsoulis
Publikováno v:
International Mathematics Research Notices. 2021:1160-1197
In an earlier work, the authors proposed a non-selfadjoint approach to the Hao–Ng isomorphism problem for the full crossed product, depending on the validity of two conjectures stated in the broader context of crossed products for operator algebras
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::204a1fc7a2ff9768cd232b475b62f344
https://doi.org/10.1093/imrn/rnz271
https://doi.org/10.1093/imrn/rnz271
Autor:
Raphaël Clouâtre, Christopher Ramsey
Publikováno v:
Journal of Functional Analysis. 277:2572-2616
We study non-selfadjoint operator algebras that can be entirely understood via their finite-dimensional representations. In contrast with the elementary matricial description of finite-dimensional $\mathrm{C}^*$-algebras, in the non-selfadjoint setti
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d77838d7ea93f8d9bd6ac32970dea43c
https://doi.org/10.1016/j.jfa.2018.12.016
https://doi.org/10.1016/j.jfa.2018.12.016
Autor:
Sarah Plosker, Christopher Ramsey
Publikováno v:
Journal of Mathematical Analysis and Applications. 469:117-125
We generalize Lyapunov's convexity theorem for classical (scalar-valued) measures to quantum (operator-valued) measures. In particular, we show that the range of a nonatomic quantum probability measure is a weak⁎-closed convex set of quantum effect
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7d997d5ec8d5cdeb9096b5cd5d8939f6
https://doi.org/10.1016/j.jmaa.2018.09.003
https://doi.org/10.1016/j.jmaa.2018.09.003
Publikováno v:
European Journal of Archaeology
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=r3c4b2081b22::17cdddfa01cfdafc7437f2ce33bb6f50
Autor:
Christopher Ramsey, Elias G. Katsoulis
Publikováno v:
Journal of Functional Analysis. 275:1173-1207
Let ( G , Σ ) be a (partially) ordered abelian group with Haar measure μ, let ( A , G , α ) be a dynamical system and let A ⋊ α Σ be the associated semicrossed product. Using Takai duality we establish a stable isomorphism A ⋊ α Σ ∼ s (
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::72624b99c3e0eb047f2b227ce408b2de
https://doi.org/10.1016/j.jfa.2018.05.012
https://doi.org/10.1016/j.jfa.2018.05.012
Autor:
Christopher Ramsey
Publikováno v:
Proceedings of the American Mathematical Society. 146:5279-5288
Given a nontrivial family of pairs of faces of unital C ∗ \mathrm {C}^* -algebras where each pair has a faithful state, it is proved that if the bifree product state is faithful on the reduced bifree product of this family of pairs of faces, then e
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e39b3abeb73c56f4342567acc190effc
https://doi.org/10.1090/proc/14194
https://doi.org/10.1090/proc/14194
Autor:
Christopher Ramsey, Raphaël Clouâtre
Publikováno v:
International Mathematics Research Notices. 2019:6819-6886
We develop a completely bounded counterpart to the noncommutative Choquet boundary of an operator space. We show how the class of completely bounded linear maps is too large to accommodate our purposes. To overcome this obstacle, we isolate the subse
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::4aaa618ae6365a9530d15b4019c769a7
https://doi.org/10.1093/imrn/rnx335
https://doi.org/10.1093/imrn/rnx335
Autor:
Elias G. Katsoulis, Christopher Ramsey
The authors study crossed products of arbitrary operator algebras by locally compact groups of completely isometric automorphisms. They develop an abstract theory that allows for generalizations of many of the fundamental results from the selfadjoint
