nLab homogeneous C-star-algebra


A C*-algebra is called nn-homogeneous (or n-dimensionally homogeneous) if each irreducible C C^\star-representation of the algebra is nn-dimensional.


  • Jun Tomiyama, Masamichi Takesaki, Applications of fibre bundles to the certain class of C *C^\ast-algebras, Tohoku Math. J. (2) 13:3 (1961) 498-522 euclid doi

The comparison of the Artin’s theorem on characterization of Azumaya algebras and Tomiyama-Takesaki’s theorem on nn-homogeneous C *C^\ast-algebras is in chapter 9 of

  • Edward Formanek, Noncommutative invariant theory, in: Group actions on rings (Brunswick, Maine, 1984), 87–119, Contemp. Math. 43, Amer. Math. Soc. 1985 doi

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