Homotopic properties of fiber bundles with structure group of matrix algebras automorphisms (Q1596188)

The author discusses the analog of \(K\)-theory on the category of finite \(CW\)-complexes by means of a special class of stratifications with a specific layer of the matrix algebra. The corresponding classifying space is set out. It is shown that the class of stable equivalence of some floating stratification is re-established by means of a pair of coordinated stratifications with structural group of matrix algebras automorphisms.