Lookup NU author(s): Dr Frederic Gourdeau,
Dr Michael White
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In this paper, we consider the path semigroup l(1)-algebra for a quiver and the inverse semigroup l(1)-algebra of a quiver, the latter of which can be used in the construction of Cuntz-Krieger algebras. The main objectives of the paper are to determine the simplicial and cyclic cohomology groups of these algebras. First, we determine the simplicial and cyclic cohomology of the path algebra of the quiver, showing the simplicial cohomology groups of dimension n vanish for n > 1. We then determine the simplicial and cyclic cohomology of the inverse semigroup algebra. The work uses the Connes-Tzygan long exact sequence. (C) 2014 Elsevier Inc. All rights reserved.
Author(s): Gourdeau F, White MC
Publication type: Article
Publication status: Published
Journal: Journal of Mathematical Analysis and Applications
Print publication date: 01/03/2015
Online publication date: 05/10/2014
ISSN (print): 0022-247X
ISSN (electronic): 1096-0813
Publisher: Academic Press
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