Characterizations of amenable representations of compact groups

• Autorzy: Michael Yin-Hei Cheng
• Języki publikacji: EN

Abstrakty

EN

Let G be a locally compact group and let π be a unitary representation. We study amenability and H-amenability of π in terms of the weak closure of (π ⊗ π)(G) and factorization properties of associated coefficient subspaces (or subalgebras) in B(G). By applying these results, we obtain some new characterizations of amenable groups.

Kategorie tematyczne

• 46J10: Banach algebras of continuous functions, function algebras
• 46J30: Subalgebras
• 43A07: Means on groups, semigroups, etc.; amenable groups
• 43A40: Character groups and dual objects
• 43A22: Homomorphisms and multipliers of function spaces on groups, semigroups, etc.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2012
• Tom: 213
• Numer: 3
• Strony: 207-225

Daty

wydano

2012

Twórcy

autor

Michael Yin-Hei Cheng

• Department of Pure Mathematics, University of Waterloo, Waterloo, ON N2L 3G1, Canada

Identyfikatory

DOI

10.4064/sm213-3-2