MULTIPLIERS OF HILBERT PRO-C*-BIMODULES AND CROSSED PRODUCTS BY HILBERT PRO-C*-BIMODULES

作者：Joita Maria^*; Munteanu Radu B; Zarakas Ioannis

来源：Operators and Matrices, 2015, 9(4): 925-942.

DOI：10.7153/oam-09-55

• Pro-C*-algebras
• pro-C*-bimodules
• multipliers
• crossed products

In this paper we introduce the notion of multiplier of a Hilbert pro-C*-bimodule and we investigate the structure of the multiplier bimodule of a Hilbert pro-C*-bimodule. We also investigate the relationship between the crossed product Ax(X) Z of a pro-C*-algebra A by a Hilbert pro-C*-bimodule X over A, the crossed product M(A) x(M(X)) Z of the multiplier algebra M(A) of A by the multiplier bimodule M(X) of X and the multiplier algebra M(Ax(X) Z) of Ax(X) Z.

• 出版日期2015-12