3 citations · 3 across the 3 of their papers we have counts for
7 papers · 1 filter
Operator algebras associated with the Klein-Gordon position representation in relativistic quantum mechanics
Nik Weaver
We initiate a mathematically rigorous study of Klein-Gordon position operators in single-particle relativistic quantum mechanics. Although not self-adjoint, these operators have re…
A prime C*-algebra that is not primitive
Nik Weaver
We construct a non-separable C*-algebra that is prime but not primitive.
A counterexample to a conjecture of Akemann and Anderson
Nik Weaver
Akemann and Anderson made a conjecture about ``paving'' projections in finite dimensional matrix algebras which, if true, would settle the well-known Kadison-Singer problem. We fal…
Geometric characterizations of some classes of operators in C*-algebras and von Neumann algebras
Charles Akemann, Nik Weaver
We present geometric characterizations of the partial isometries, unitaries, and invertible operators in C*-algebras and von Neumann algebras.
Hilbert bimodules with involution
Nik Weaver
We examine Hilbert bimodules which possess a (generally unbounded) involution. Topics considered include a linking algebra representation, duality, locality, and the role of these…
Noncommutative complex analysis and Bargmann-Segal multipliers
Richard Rochberg, Nik Weaver
We state several equivalent noncommutative versions of the Cauchy-Riemann equations and characterize the unbounded operators on L^2(R) which satisfy them. These operators arise fro…