Popescu, I. and Zacharias, J. (2005) E-theoretic duality for higher rank graph algebras. K-Theory, 34(3), pp. 265-282. (doi: 10.1007/s10977-005-5544-6)
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Publisher's URL: http://dx.doi.org/10.1007/s10977-005-5544-6
Abstract
We prove that there is a Poincare type duality in E-theory between higher rank graph algebras associated with a higher rank graph and its opposite correspondent. We obtain an r-duality, that is the fundamental classes are in Er. The basic tools are a higher rank Fock space and higher rank Toeplitz algebra which has a more interesting ideal structure than in the rank 1 case. The K-homology fundamental class is given by an r-fold exact sequence whereas the K-theory fundamental class is given by a homomorphism. The E-theoretic products are essentially pull-backs so that the computation is done at the level of exact sequences.
Item Type: | Articles |
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Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | Zacharias, Professor Joachim |
Authors: | Popescu, I., and Zacharias, J. |
College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
Journal Name: | K-Theory |
ISSN: | 0920-3036 |
ISSN (Online): | 1573-0514 |
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