A CHARACTERISATION OF CENTRAL ELEMENTS IN C*-ALGEBRAS

作者：Molnar Lajos^*

来源：Bulletin of the Australian Mathematical Society, 2017, 95(1): 138-143.

DOI：10.1017/S000497271600068X

• C*-algebra
• central element
• order
• exponential function

Wu ['An order characterization of commutativity for C*-algebras', Proc. Amer. Math. Soc. 129 ( 2001), 983-987] proved that if the exponential function on the set of all positive elements of a C*-algebra is monotone in the usual partial order, then the algebra in question is necessarily commutative. In this note, we present a local version of that result and obtain a characterisation of central elements in C*-algebras in terms of the order.

• 出版日期2017-2