4 citations · 8 across the 12 of their papers we have counts for
5 papers · 1 filter
Dense m-convex Frechet Subalgebras of Operator Algebra Crossed Products by Lie Groups
Larry B. Schweitzer
Let A be a dense Frechet *-subalgebra of a C*-algebra B. (We do not require Frechet algebras to be m-convex.) Let G be a Lie group, not necessarily con- nected, which acts on both…
Representable K-theory of Smooth Crossed Products by R and Z
N. Christopher Phillips, Larry B. Schweitzer
We show that the Thom isomorphism and the Pimsner-Voiculescu exact sequence both hold for smooth crossed products of Frechet algebras by R and Z respectively. We also obtain the sa…
A Non-Spectral Dense Banach Subalgebra of the Irrational Rotation Algebra
Larry B. Schweitzer
We give an example of a dense, simple, unital Banach subalgebra of the irrational rotation C*-algebra , such that is not a spectral subalgebra of . This answers a que…
A Short Proof that is local if is local and Fréchet
Larry B. Schweitzer
We give a short and very general proof of the fact that the property of a dense Fréchet subalgebra of a Banach algebra being local, or closed under the holomorphic functional calcu…
Spectral Invariance of Dense Subalgebras of Operator Algebras
Larry B. Schweitzer
We define the notion of strong spectral invariance for a dense Frechet subalgebra A of a Banach algebra B. We show that if A is strongly spectral invariant in a C*-algebra B, and G…