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Topological methods
for Cā-algebras. IV. mod p
homology
Claude Schochet |
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Vol. 114 (1984), No. 2, 447ā468
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Abstract |
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Let h∗ be a homology theory on an admissible category of C∗-algebras. We define a homology theory h∗(−;Z∕n) which fits into a Bockstein exact sequence  Let p be a prime. If p is odd or if h∗ is “good” then h∗(A;Z∕p) is a Z∕p-module and (with finiteness assumptions on the torsion of h∗(A)) there is a Bockstein spectral sequence with E∗1 = h∗(A;Z∕p) which converges to (h∗(A)∕(torsion)) ⊗ Z∕p. In the special case of K-theory, we show that K∗(A ⊗ N)≅K∗(A;Z∕n), provided that K0(N) = Z∕n, K1(N) = 0, and N is in a certain (large) category N of separable nuclear C∗-algebras. |
Mathematical Subject Classification 2000
Primary: 46L80
Secondary: 19K33, 46M20, 55N99
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Milestones
Received: 3 September 1982
Published: 1 October 1984
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Authors |
| Claude Schochet | |
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