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5 papers · 1 filter
Index Theory for Boundary Value Problems via Continuous Fields of C*-algebras
Johannes Aastrup, Ryszard Nest, Elmar Schrohe
We prove an index theorem for boundary value problems in Boutet de Monvel's calculus on a compact manifold X with boundary. The basic tool is the tangent semigroupoid $\cT^-X$ gene…
Push-outs of derivations
Niels Groenbaek
Let A be a Banach algebra and let X be a Banach A -bimodule. In studying the bounded Hochschild cohomology groups H^1(A,X) it is often useful to extend a given derivation D: A-> X…
Amenability of algebras of approximable operators
Ariel Blanco, Niels Groenbaek
We give a necessary and sufficient condition for amenability of the Banach algebra of approximable operators on a Banach space. We further investigate the relationship between amen…
A Continuous Field of C*-algebras and the Tangent Groupoid for Manifolds with Boundary
Johannes Aastrup, Ryszard Nest, Elmar Schrohe
For a smooth manifold with boundary we construct a semigroupoid and a continuous field of C*-algebras which extend Connes' construction of the tangent groupoid. We show the asympto…
Bounded Hochschild cohomology of Banach algebras with a matrix-like structure
Niels Grønbæk
Let B be a unital Banach algebra. A projection in B which is equivalent to the identitity may give rise to a matrix-like structure on any two-sided ideal A in B. In this set-up we…