Power, Stephen C. (1998) Homology for operator algebras III: partial isometry homotopy and triangular algebras. New York Journal of Mathematics, 4. pp. 35-56. ISSN 1076-9803Full text not available from this repository.
The partial isometry homology groups Hn dened in Power  and a related chain complex homology CH are calculated for various triangular operator algebras, including the disc algebra. These invariants are closely connected with K-theory. Simplicial homotopy reductions are used to identify both Hn and CHn for the lexicographic products A(G)?A with A(G) a digraph algebra and A a triangular subalgebra of the Cuntz algebra Om. Specifically Hn(A(G)?A) =Hn((G))ZK0(C(A)) and CHn(A(G) ? A) is the simplicial homology group Hn((G);K0(C(A))) with coecients in K0(C(A)).
|Journal or Publication Title:||New York Journal of Mathematics|
|Subjects:||Q Science > QA Mathematics|
|Departments:||Faculty of Science and Technology > Mathematics and Statistics|
|Deposited On:||13 Nov 2008 11:22|
|Last Modified:||09 Oct 2013 13:12|
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