Zobrazeno 1 - 10
of 121
pro vyhledávání: '"Akemann, Charles A."'
Autor:
Akemann, Charles A., Weaver, Nik
Let G be a finite abelian group. We examine the discrepancy between subspaces of l^2(G) which are diagonalized in the standard basis and subspaces which are diagonalized in the dual Fourier basis. The general principle is that a Fourier subspace whos
Externí odkaz:
http://arxiv.org/abs/1503.06893
Autor:
Akemann, Charles A., Bice, Tristan
Publikováno v:
Adv. Math. 285 (2015), 101-137
We investigate the connections between order and algebra in the hereditary C*-subalgebra lattice $\mathcal{H}(A)$ and *-annihilator ortholattice $\mathscr{P}(A)^\perp$. In particular, we characterize $\vee$-distributive elements of $\mathcal{H}(A)$ a
Externí odkaz:
http://arxiv.org/abs/1410.0093
Autor:
Akemann, Charles, Weaver, Nik
Marcus, Spielman, and Srivastava recently solved the Kadison-Singer problem by showing that if u_1, ..., u_m are column vectors in C^d such that \sum u_iu_i^* = I, then a set of indices S \subseteq {1, ..., m} can be chosen so that \sum_{i \in S} u_i
Externí odkaz:
http://arxiv.org/abs/1308.5276
We consider the question of when the multiplier algebra $M(\mathcal{A})$ of a $C^*$-algebra $\mathcal{A}$ is a $ W^*$-algebra, and show that it holds for a stable $C^*$-algebra exactly when it is a $C^*$-algebra of compact operators. This implies tha
Externí odkaz:
http://arxiv.org/abs/1304.7453
The Kadison-Singer Problem (K-S) has expanded since 1959 to a very large number of equivalent problems in various fields. In the present paper we will introduce the notion of weak paveability for positive elements of a von Neumann algebra M. This new
Externí odkaz:
http://arxiv.org/abs/1203.2854
Let $M_n$ denote the algebra of complex $n\times n $ matrices and write $M$ for the direct sum of the $M_n$. So a typical element of $M$ has the form \[x = x_1\oplus x_2 \... \oplus x_n \oplus \...,\] where $x_n \in M_n$ and $\|x\| = \sup_n\|x_n\|$.
Externí odkaz:
http://arxiv.org/abs/1009.2237
Autor:
Akemann, Charles A., Sherman, David
We determine when there is a unique conditional expectation from a semifinite von Neumann algebra onto a singly-generated maximal abelian *-subalgebra. Our work extends the results of Kadison and Singer via new methods, notably the observation that a
Externí odkaz:
http://arxiv.org/abs/0906.1831
Let H be a separable Hilbert space with a fixed orthonormal basis (e_n), n>=1, and B(H) be the full von Neumann algebra of the bounded linear operators T: H -> H. Identifying l^\infty = C(\beta N) with the diagonal operators, we consider C(\beta N) a
Externí odkaz:
http://arxiv.org/abs/0708.2366
We prove that all of the pure states of the reduced C*-algebra of the free goup on $\aleph_1$ generators are *-automorphism equivalent and extract some consequences of that fact.
Comment: 3 pages, results improved with the addition of a third au
Comment: 3 pages, results improved with the addition of a third au
Externí odkaz:
http://arxiv.org/abs/0705.1182
Autor:
Akemann, Charles, Weaver, Nik
A pure state f of a von Neumann algebra M is called classically normal if f is normal on any von Neumann subalgebra of M on which f is multiplicative. Assuming the continuum hypothesis, a separably represented von Neumann algebra M has classically no
Externí odkaz:
http://arxiv.org/abs/0705.0992