Homology for operator algebras III: partial isometry homotopy and triangular algebras.

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 1076-9803

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Abstract

The partial isometry homology groups Hn dened in Power [1] 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)).

Item Type:
Journal Article
Journal or Publication Title:
New York Journal of Mathematics
Uncontrolled Keywords:
/dk/atira/pure/researchoutput/libraryofcongress/qa
Subjects:
ID Code:
19440
Deposited By:
Deposited On:
13 Nov 2008 11:22
Refereed?:
Yes
Published?:
Published
Last Modified:
01 Jan 2020 06:15