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
  • Views 184
  • Downloads 0

How To Cite

Julien Esse Atto, Victor Kofi Assiamoua (2018). On Group Von Neumann Algebras with Vector-Valued Functions. JOURNAL OF ADVANCES IN MATHEMATICS, 14(1), 7596-7614. https://europub.co.uk/articles/-A-651868