The Brauer group of a compact Hausdorff space and n n -homogeneous C ∗ C^{ast } -algebras Academic Article uri icon

abstract

  • The structure of all n-homogeneous C⋆-algebras with a given compact Hausdorft space X as maximal ideal space is looked at from a cohomological standpoint. Such algebras are matrix algebra bundles over X, and by means of fibrewise tensor products, a group, B(X), analogous to the Brauer group of field theory, is constructed. A partial cohomological description of this group is given. Projective representations of finite groups are used to provide examples where B(X) is precisely computable and nontrivial. © American Mathematical Society 1972.

author list (cited authors)

  • Howe, R.

citation count

  • 0

publication date

  • January 1972