Multipliers of C*-algebras

155Citations
Citations of this article
7Readers
Mendeley users who have this article in their library.
Get full text

Abstract

For a C*-algebra A let M(A) denote the two-sided multipliers of A in its enveloping von Neumann algebra. A complete description of M(A) is given in the case where the spectrum of A is Hausdorff. The formula M(A ⊗α B) = M(A) ⊗α M(B) is discussed and examples are given where M(A) A is non-simple even though A is simple and separable. As a generalization of Tietze's Extension Theorem it is shown that a multiplier of a quotient of A is the image of an element from M(A), if A is separable. Finally, deriving algebras and thin operators and their relations to multipliers are discussed. © 1973.

Cite

CITATION STYLE

APA

Akemann, C. A., Pedersen, G. K., & Tomiyama, J. (1973). Multipliers of C*-algebras. Journal of Functional Analysis, 13(3), 277–301. https://doi.org/10.1016/0022-1236(73)90036-0

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free