Homotopy theory of bundles with fiber matrix algebra

A. V. Ershov

Homotopy theory of bundles with fiber matrix algebra

Algebraic Topology 2010-10-05 v2 K-Theory and Homology

Authors: A. V. Ershov

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 $\BSU_\otimes$ on $\BSU$ related to the tensor product of virtual $\SU$ -bundles of virtual dimension 1.

Keywords

locally trivial bundles matrix algebra cw-complex stable theory h-space structure bsu tensor product su-bundles

Cite

@article{arxiv.math/0301151,
  title  = {Homotopy theory of bundles with fiber matrix algebra},
  author = {A. V. Ershov},
  journal= {arXiv preprint arXiv:math/0301151},
  year   = {2010}
}

Comments

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

Homotopy theory of bundles with fiber matrix algebra

Abstract

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