Vol. 96, No. 1, 1981

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Topological methods for Cāˆ—-algebras. I. Spectral sequences

Claude Schochet

Vol. 96 (1981), No. 1, 193ā€“211
Abstract

Let A be a C-algebra filtered by an increasing sequence of closed ideals {An} with nAn = A. Then there is a spectral sequence which converges to K(A) and has Ep,1 = K(Ap∕Ap1). More generally, such spectral sequences obtain for the Brown-Douglas-Fillmore functors xt(A), the Pimsner-Popa-Voiculescu functors xt(Y ;A), the Kasparov functors xt(A,B), or indeed for any sequence of covariant or contravariant functors on C-algebras which satisfies an exactness axiom.

Mathematical Subject Classification 2000
Primary: 46M20
Secondary: 46L05, 58G12
Milestones
Received: 23 May 1980
Published: 1 September 1981
Authors
Claude Schochet