Non-negative Spectral Measures and Representations of C*-Algebras

作者：Zalar Aljaz^*

来源：Integral Equations and Operator Theory, 2014, 79(2): 219-242.

DOI：10.1007/s00020-014-2148-7

• *-Representations
• C*-algebras
• operator-valued measures

Regular normalized W-valued spectral measures on a compact Hausdorff space X are in one-to-one correspondence with unital *-representations , where W stands for a von Neumann algebra. In this paper we show that for every compact Hausdorff space X and every von Neumann algebras W (1), W (2) there is a one-to-one correspondence between unital *-representations and special B(W (1), W (2))-valued measures on X that we call non-negative spectral measures. Such measures are special cases of non-negative measures that we introduced in our previous paper (Cimpri and Zalar, J Math Anal Appl 401:307-316, 2013) in connection with moment problems for operator polynomials.

• 出版日期2014-6