4 citations · 8 across the 12 of their papers we have counts for
12 papers
-equivariant -theory
Larry B. Schweitzer
We construct a sequence of cyclic exact sequences that can be used to compute the -theory of the -algebra crossed product .
Extending Representations of Dense Subalgebras of -Algebras, and Spectral Invariance
Larry B. Schweitzer
Let be a dense Fréchet subalgebra of the -algebra of compact operators on a seprable Hilbert space. Assume that is spectral invariant in . We show…
Functions on the Stone-Čech Compactification of the Integers
Larry B. Schweitzer
We construct an algebra of smooth functions which is dense in the pointwise multiplication algebra of sup-norm bounded fu…
Dense Banach subalgebras of the null sequence algebra which do not satisfy a differential seminorm condition
Larry B. Schweitzer
We construct dense Banach subalgebras of the null sequence algebra which are spectral invariant, but do not satisfy the -condition $\|ab \|_A \leq K(\|a\|_{\infty} \…
Dense nuclear Fréchet ideals in -algebras
Larry B. Schweitzer
We show that a -algebra contains a dense left or right Fréchet ideal , with a nuclear locally convex space, if and only if the primitive ideal space Prim o…
A Factorization Theorem for Smooth Crossed Products
Larry B. Schweitzer
We show that if E is a Frechet G\rtimes S(M)-module, for which the canonical map from the projective completion G\rtimes S(M) {\widehat \otimes} E to E is surjective, then every el…
Summary of Spectral Invariance Results
Larry B. Schweitzer
The author's recent results on spectral invariant dense subalgebras of C*-algebras associated with dynamical systems are summarized. If G is a compactly generated polynomial growth…
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…