Journal of Operator Theory

Volume 34, Issue 2, Fall 1995 pp. 285-306.

Notes on hypertraces and C*-algebras

Authors: Erik Bédos
Author institution:Institute of Mathematics, University of Oslo, P.B. 1053, Blindern, 0316 Oslo, NORWAY

Summary: The concept of a hypertrace on a C*-algebra of bounded linear operators on a Hilbert space has been used, somewhat unexplicitely, in several recent works. In the present paper, we give an introduction to this concept and its relation to amenability and nuclearity, and initiate a study of the naturally emerging classes of so-called weakly hypertracial C*-algebras and hypertracial C*-algebras.

Keywords: C*-algebra, hypertrace, amenability, nuclearity.

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