Homotopy theory of bundles with fiber matrix algebra
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.
- Publication:
-
arXiv Mathematics e-prints
- Pub Date:
- January 2003
- DOI:
- 10.48550/arXiv.math/0301151
- arXiv:
- arXiv:math/0301151
- Bibcode:
- 2003math......1151E
- Keywords:
-
- Mathematics - Algebraic Topology;
- Mathematics - K-Theory and Homology
- E-Print:
- This is a version of the paper published as a preprint of Max Planck Institute for Mathematics. Several misprints are corrected. 24 pages