Vol. 137, No. 1, 1989
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On the vanishing of Hn(π’œ,π’œβˆ—) for certain Cβˆ—-algebras

Erik Christensen and Allan M. Sinclair
Vol. 137 (1989), No. 1, 55–63
DOI: 10.2140/pjm.1989.137.55
Abstract

The norm continuous Hochschild cohomology for a C∗-algebra 𝒜 with coefficients in the dual space vanishes if either 𝒜 is nuclear or 𝒜 has no bounded traces. The norm continuous cyclic cohomology for a C∗-algebra with no bounded traces vanishes.
Mathematical Subject Classification 2000
Primary: 46M20
Secondary: 46L80
Milestones
Received: 17 November 1987
Published: 1 March 1989
Authors
Erik Christensen
Department of Mathematical Sciences
University of Copenhagen
Universitaetspark 5
DK-2100 Copenhagen
Denmark
Allan M. Sinclair
The University of Edinburgh
The King’s Buildings
Edinburgh
EH9 3JZ
United Kingdom