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arXiv · 1203.0857

Elementary approach to homogeneous C*-algebras

Piotr Niemiec
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Abstract

A C*-algebra is n-homogeneous (where n is finite) if every its nonzero irreducible representation acts on an n-dimensional Hilbert space. An elementary proof of Fell's characterization of n-homogeneous C*-algebras (by means of their spectra) is presented. A spectral theorem and a functional calculus for finite systems of elements which generate n-homogeneous C*-algebras are proposed.

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Piotr Niemiec. 2012-03-05. Elementary approach to homogeneous C*-algebras. https://doi.org/10.1216/rmj-2015-45-5-1591

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