Author pages are created from data sourced from our academic publisher partnerships and public sources.
- Publications
- Influence
Lipschitz Algebras and Derivations of von Neumann Algebras
- N. Weaver
- Mathematics
- 1 August 1996
Let M be an abelian von Neumann algebra andEan abelian operator M-bimodule. Then the domain of any ultraweakly closed derivation from M intoEis a Lipschitz algebra. Conversely, every Lipschitz… Expand
A characterization of the higher dimensional groups associated with continuous wavelets
- R. Laugesen, N. Weaver, Guido Weiss, E. Wilson
- Mathematics
- 1 March 2002
A subgroup D of GL (n, ℝ) is said to be admissible if the semidirect product of D and ℝn, considered as a subgroup of the affine group on ℝn, admits wavelets ψ ∈ L2(ℝn) satisfying a generalization of… Expand
Lipschitz algebras and derivations II: exterior differentiation
- N. Weaver
- Mathematics
- 17 July 1998
Abstract Basic aspects of differential geometry can be extended to various non-classical settings: Lipschitz manifolds, rectifiable sets, sub-Riemannian manifolds, Banach manifolds, Wiener space,… Expand
Consistency of a counterexample to Naimark's problem.
- C. Akemann, N. Weaver
- Mathematics, Medicine
- Proceedings of the National Academy of Sciences…
- 6 December 2003
We construct a C*-algebra that has only one irreducible representation up to unitary equivalence but is not isomorphic to the algebra of compact operators on any Hilbert space. This answers an old… Expand
A von Neumann algebra approach to quantum metrics
- G. Kuperberg, N. Weaver
- Mathematics, Physics
- 3 May 2010
We propose a new definition of quantum metric spaces, or W*-metric spaces, in the setting of von Neumann algebras. Our definition effectively reduces to the classical notion in the atomic abelian… Expand
Quantum relations
- N. Weaver
- Mathematics
- 3 May 2010
We define a “quantum relation” on a von Neumann algebra M ⊆ B(H) to be a weak* closed operator bimodule over its commutant M. Although this definition is framed in terms of a particular… Expand
The Calkin algebra has outer automorphisms
- N. Phillips, N. Weaver
- Mathematics
- 23 June 2006
Assuming the continuum hypothesis, we show that the Calkin algebra has 2^{aleph_1} outer automorphisms.
A Lyapunov‐type theorem from Kadison–Singer
- C. Akemann, N. Weaver
- Mathematics
- 24 August 2013
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… Expand
QUANTUM GRAPHS AS QUANTUM RELATIONS
- N. Weaver
- Mathematics, Physics
- 12 June 2015
The "noncommutative graphs" which arise in quantum error correction are a special case of the quantum relations introduced in [N. Weaver, Quantum relations, Mem. Amer. Math. Soc. 215 (2012), v-vi,… Expand
Modules with norms which take values in a C*-algebra
- N. C. Phillips, N. Weaver
- Mathematics
- 19 December 1996
We consider modules E over a C*-algebra A which are equipped with a map into A+ that has the formal properties of a norm. We completely determine the structure of these modules. In particular, we… Expand