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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

64 8

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

90 7

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

82 6- PDF

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

39 5- PDF

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

28 5- PDF

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

24 4- PDF

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.

60 3- PDF

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

15 3- PDF

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

15 3- PDF

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

17 3- PDF