56 citations · 90 across the 17 of their papers we have counts for
20 papers
Thick Difference Sets of Haar Null Compact Sets in Locally Compact Groups
Chuck Akemann
Let \(G\) be a non-discrete, locally compact group with Haar measure \(m\). We prove that there exists a compact set \(K \subset G\) with \(m(K)=0\) such that \(KK^{-1}\) contains…
Detecting Fourier subspaces
Charles A. Akemann, Nik Weaver
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 dua…
Hereditary C*-Subalgebra Lattices
Charles A. Akemann, Tristan Bice
We investigate the connections between order and algebra in the hereditary C*-subalgebra lattice and *-annihilator ortholattice . In particul…
A Lyapunov type theorem from Kadison-Singer
Charles Akemann, Nik Weaver
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 in…
Which multiplier algebras are -algebras?
Charles A. Akemann, Massoud Amini, Mohammad B. Asadi
We consider the question of when the multiplier algebra of a -algebra is a -algebra, and show that it holds for a stable -algebra exa…
Weak Paveability and the Kadison-Singer Problem
Charles A. Akemann, Joel Anderson, Betul Tanbay
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…