Homotopy theory of bundles with fiber matrix algebra

2003/01/14 by А. В. Ершов, A. V. Ershov, Ershov, A. V. · 2 citations
Mathematics · #Advanced Topics in Algebra #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #K-Theory and Homology (math.KT) #math.AT #math.KT

paper · pdf · doi:10.48550/arxiv.math/0301151

This is a version of the paper published as a preprint of Max Planck Institute for Mathematics. Several misprints are corrected. 24 pages

openalex publication_date 2003/01/14 · arxiv created 2010/10/04 · arxiv updated 2010/10/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In the present paper we consider a special class of locally trivial bundles with fiber a matrix algebra. On the set of such bundles over a finite CW-complex we define a relevant equivalence relation. The obtained stable theory gives us a geometric description of the H-space structure \BSU_⊗ on \BSU related to the tensor product of virtual \SU-bundles of virtual dimension 1.

Cited by

• On K-theory automorphisms related to bundles of finite order
• A bordism theory related to matrix Grassmannians

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