New York Journal of Mathematics
Volume 24 (2018), 1068-1075


Leonard T. Huang

Automatic continuity of *-representations for discrete twisted C*-dynamical systems

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Published: November 27, 2018.
Keywords: twisted C*-dynamical system, *-representation, multiplier *-representation, covariant representation, automatically contractive.
Subject: 22D15, 22D20, 22D25, 47L55.

In this paper, we prove that every *-representation for a discrete twisted C*-dynamical system (G,A,α,ω) (on a C*-algebra) is automatically contractive with respect to the L1-norm on Cc(G,A).


The author thanks Judith Packer and Dana Williams for their extremely helpful comments on this topic. The deepest appreciation, however, goes to the anonymous referee, who offered valuable suggestions on how to improve the exposition in this paper.

Author information

Leonard T. Huang:
Department of Mathematics & Statistics
University of Nevada at Reno
1664 North Virginia Street
Reno, Nevada 89557, USA