On Group Von Neumann Algebras with Vector-Valued Functions
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2018, Vol 14, Issue 1
Abstract
Let G be a locally compact group equipped with a normalized Haar measure , A(G) the Fourier algebraof G and V N(G) the von Neumann algebra generated by the left regular representation of G. In this paper, we introduce the space V N(G;A) associated with the Fourier algebra A(G;A) for vector-valued functions on G, where A is a H-algebra. Some basic properties are discussed in the category of Banach space, and alsoin the category of operator space.
Authors and Affiliations
Julien Esse Atto, Victor Kofi Assiamoua
Keywords
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- EP ID EP651868
- DOI 10.24297/jam.v14i1.7299
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