Zobrazeno 1 - 10
of 11
pro vyhledávání: '"Caleb Eckhardt"'
Publikováno v:
Canadian Journal of Mathematics. 74:655-685
We initiate the program of extending to higher-rank graphs (k-graphs) the geometric classification of directed graph $C^*$ -algebras, as completed in Eilers et al. (2016, Preprint). To be precise, we identify four “moves,” or modifications, one c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::86fba9910940e9c8a67f3b34a13bca07
https://doi.org/10.4153/s0008414x21000055
https://doi.org/10.4153/s0008414x21000055
Publikováno v:
Journal of Functional Analysis. 271:1022-1042
It was recently shown that each C*-algebra generated by a faithful irreducible representation of a finitely generated, torsion free nilpotent group is classified by its ordered K-theory. For the three step nilpotent group U T ( 4 , Z ) we calculate t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::0f93d663c97695219c575bd47e904c57
https://doi.org/10.1016/j.jfa.2016.05.003
https://doi.org/10.1016/j.jfa.2016.05.003
Autor:
Sven Raum, Caleb Eckhardt
We show that torsion-free finitely generated nilpotent groups are characterised by their group C*-algebras and we additionally recover their nilpotency class as well as the subquotients of the upper central series. We then use a C*-bundle decompositi
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https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2067a559572671ef139a6f9cd62db3e3
We show that inductive limits of virtually nilpotent groups have strongly quasidiagonal C*-algebras, extending results of the first author on solvable virtually nilpotent groups. We use this result to show that the decomposition rank of the group C*-
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::84d5adbc5d454dc0b2af62746e9a583b
Publikováno v:
Journal of Functional Analysis. 265:135-152
We examine the question of quasidiagonality for C*-algebras of discrete amenable groups from a variety of angles. We give a quantitative version of Rosenberg's theorem via paradoxical decompositions and a characterization of quasidiagonality for grou
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::28e483bbc757ec7ba3e59b55f60cf813
https://doi.org/10.1016/j.jfa.2013.04.004
https://doi.org/10.1016/j.jfa.2013.04.004
Autor:
Caleb Eckhardt
Publikováno v:
Proceedings of the American Mathematical Society. 141:2719-2727
Let $A$ be a homogeneous C*-algebra and $\phi$ a state on $A.$ We show that if $\phi$ satisfies a certain faithfulness condition, then there is a net of finite-rank, unital completely positive, $\phi$-preserving maps on $A$ that tend to the identity
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::5cf4e5766cc51c55a8a20a96060257e7
https://doi.org/10.1090/s0002-9939-2013-11702-8
https://doi.org/10.1090/s0002-9939-2013-11702-8
Autor:
Caleb Eckhardt
Publikováno v:
Proceedings of the London Mathematical Society. 101:795-820
Let $\phi:M_n\to B(H)$ be an injective, completely positive contraction with $\V\phi^{-1}:\phi(M_n)\to M_n\V_{cb}\leq1+\delta(\epsilon).$ We show that if either (i) $\phi(M_n)$ is faithful modulo the compact operators or (ii) $\phi(M_n)$ approximatel
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ff8d6cfa804af970d07bda93c5732232
https://doi.org/10.1112/plms/pdq008
https://doi.org/10.1112/plms/pdq008
Autor:
Caleb Eckhardt
Publikováno v:
Journal of Functional Analysis. 258:1-19
We continue the study of OL∞ structure of nuclear C∗-algebras initiated by Junge, Ozawa and Ruan. In particular, we prove if OL∞(A) 1.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::7387ef19924bfa24b0622c2a678b9184
https://doi.org/10.1016/j.jfa.2009.10.004
https://doi.org/10.1016/j.jfa.2009.10.004
Autor:
Paul McKenney, Caleb Eckhardt
We show that group C*-algebras of finitely generated, nilpotent groups have finite nuclear dimension. It then follows, from a string of deep results, that the C*-algebra $A$ generated by an irreducible representation of such a group has decomposition
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::aa432834898eb30a41110e425cb3aca4
Autor:
Caleb Eckhardt
We show that every unitary representation of a solvable discrete virtually nilpotent group G is quasidiagonal. Roughly speaking, this says that every unitary representation of G approximately decomposes as a direct sum of finite dimensional approxima
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::45ac43f44671c8f927ba102368e44dde
http://arxiv.org/abs/1303.2376
http://arxiv.org/abs/1303.2376