Approximate Homotopy of Homomorphisms from $C(X)$ into a Simple $C^*$-Algebra

Huaxin Lin

Jan. 2010 · American Mathematical Soc.

Über dieses E-Book

In this paper the author proves Generalized Homotopy Lemmas. These type of results play an important role in the classification theory of $*$-homomorphisms up to asymptotic unitary equivalence. Table of Contents: Prelude; The basic homotopy lemma for higher dimensional spaces; Purely infinite simple $C^*$-algebras; Approximate homotopy; Super homotopy; Postlude; Bibliography. (MEMO/205/963)