Cofibrations and Bicofibrations for C*-Algebras

  • Ioan Pop
  • Alina Tofan
DOI: https://doi.org/10.5209/rev_REMA.2008.v21.n2.16413
Keywords: C*-algebra, homotopic *-homomorphisms, Cofibration (bicofibration) of C*-algebras, Mapping cylinder (cone), Double mapping cylinder, Cerin's omotopy

Abstract

The paper deals with the correlated concepts of cofibration and bicofibration in C*-algebra theory. We study cobrations of C*-algebras introduced by Claude Schochet in [9] (see also [7]). Cofibrations are characterized by means of the mapping cylinder C*-algebras. We also dene and analyse the notion of bicofibration for C*-algebras based on the topological model from [8] (see also [5]). As an application, an exact sequence of Cerin's homotopy groups [1] is obtained.

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Published
2008-07-15
How to Cite
Pop I. y Tofan A. (2008). Cofibrations and Bicofibrations for C*-Algebras. Revista Matemática Complutense, 21(2), 529-552. https://doi.org/10.5209/rev_REMA.2008.v21.n2.16413
Issue
Vol. 21 No. 2 (2008)
Section
Articles

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