Maximal subalgebras of C^∗-crossed products

Costel Peligrad and S. Rubinstein

Vol. 110 (1984), No. 2, 325–333

DOI: 10.2140/pjm.1984.110.325

Abstract

Let (A,G,α) be a C^∗-dynamical system. Suppose G is discrete, archimedian-linearly ordered, and A is simple with unit. In this paper we prove that the subalgebra of analytic elements A(G,α) ⊂ C^∗(A,G,α) is a maximal subalgebra of the crossed product C^∗(A,G,α).

The same question is solved for a C^∗-dynamical system associated with a von Neumann algebra with a homogeneous periodic state. Finally, if G = Z we prove the converse of this result.

Mathematical Subject Classification 2000

Primary: 46L55

Secondary: 46L05

Milestones

Received: 18 May 1981

Published: 1 February 1984