Zobrazeno 1 - 10
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pro vyhledávání: '"Wiggins, Alan"'
We study the relationship between the dynamics of the action $\alpha$ of a discrete group $G$ on a von Neumann algebra $M$, and structural properties of the associated crossed product inclusion $L(G) \subseteq M \rtimes_\alpha G$, and its intermediat
Externí odkaz:
http://arxiv.org/abs/2308.02735
Autor:
Wiggins, Alan Daniel
We examine the notion of a-strong singularity for subfactors N of a II1 factor M, which is a metric quantity that relates the distance of a unitary to a subalgebra with the distance between that subalgebra and its unitary conjugate. Using work of Pop
Externí odkaz:
http://hdl.handle.net/1969.1/5882
Publikováno v:
In Advances in Mathematics May 2024 443
Autor:
Cameron, Jan, Christensen, Erik, Sinclair, Allan M., Smith, Roger R., White, Stuart, Wiggins, Alan D.
We show that a number of key structural properties transfer between sufficiently close II$_1$ factors, including solidity, strong solidity, uniqueness of Cartan masas and property $\Gamma$. We also examine II$_1$ factors close to tensor product facto
Externí odkaz:
http://arxiv.org/abs/1604.05684
Publikováno v:
Concrete Operators, Vol 8, Iss 1, Pp 13-23 (2021)
In this paper we investigate the numerical range of C*bφm Caφn and Caφn C*bφm on the Hardy space where φ is an inner function fixing the origin and a and b are points in the open unit disc. In the case when |a| = |b| = 1 we characterize the nume
Externí odkaz:
https://doaj.org/article/a6f938265f49418380e8dd9339217f78
Autor:
Wiggins, Alan Daniel
Thesis (Ph. D.)--Texas A&M University, 2007.
"Major Subject: Mathematics" Title from author supplied metadata (automated record created on Nov. 2, 2007.) Vita. Abstract. Includes bibliographical references.
"Major Subject: Mathematics" Title from author supplied metadata (automated record created on Nov. 2, 2007.) Vita. Abstract. Includes bibliographical references.
Externí odkaz:
http://handle.tamu.edu/1969.1/5882
Autor:
Cameron, Jan, Christensen, Erik, Sinclair, Allan M., Smith, Roger R., White, Stuart, Wiggins, Alan D.
Publikováno v:
Proc. Natl. Acad. Sci. USA, 109(5) (2012), 20338-20343
This paper addresses a conjecture of Kadison and Kastler that a von Neumann algebra M on a Hilbert space H should be unitarily equivalent to each sufficiently close von Neumann algebra N and, moreover, the implementing unitary can be chosen to be clo
Externí odkaz:
http://arxiv.org/abs/1211.6963
Autor:
Cameron, Jan, Christensen, Erik, Sinclair, Allan M., Smith, Roger R., White, Stuart, Wiggins, Alan D.
Publikováno v:
Duke Math. J. 163, no. 14 (2014), 2639-2686
A conjecture of Kadison and Kastler from 1972 asks whether sufficiently close operator algebras in a natural uniform sense must be small unitary perturbations of one another. For $n\geq 3$ and a free ergodic probability measure preserving action of $
Externí odkaz:
http://arxiv.org/abs/1209.4116
Autor:
Cameron, Jan, Christensen, Erik, Sinclair, Allan M., Smith, Roger R., White, Stuart, Wiggins, Alan D.
Publikováno v:
C. R. Acad. Sci. Canada, 35(2), 70-76, 2013
In this note we show that Kadison's similarity problem for C*-algebras is equivalent to a problem in perturbation theory: must close C*-algebras have close commutants?
Comment: 6 Pages, minor typos fixed. C. R. Acad. Sci. Canada, to appear
Comment: 6 Pages, minor typos fixed. C. R. Acad. Sci. Canada, to appear
Externí odkaz:
http://arxiv.org/abs/1206.5405
Publikováno v:
J. Funct. Anal., 258, 20--49, 2010.
We consider an inclusion $B\subseteq M$ of finite von Neumann algebras satisfying $B'\cap M\subseteq B$. A partial isometry $v\in M$ is called a groupoid normalizer if $vBv^*, v^*Bv\subseteq B$. Given two such inclusions $B_i\subseteq M_i$, $i=1,2$,
Externí odkaz:
http://arxiv.org/abs/0810.0252