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arXiv:0912.2471 [math.AT]AbstractReferencesReviewsResources

Morse Theory for C*-Algebras: A Geometric Interpretation of Some Noncommutative Manifolds

Vida Milani, Seyed M. H. Mansourbeigi, Ali Asghar Rezaei

Published 2009-12-13, updated 2010-01-18Version 2

The approach we present is a modification of the Morse theory for unital C*-algebras. We provide tools for the geometric interpretation of noncommutative CW complexes. These objects were introduced and studied in [2],[7] and [14]. Some examples to illustrate these geometric information in practice are given. A classification of unital C*-algebras by noncommutative CW complexes and the modified Morse functions on them is the main object of this work.

Comments: 18 pages
Categories: math.AT, math.GT
Subjects: 06B30, 46L35, 46L85, 55P15, 55U10
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