The hochschild cohomology problem for von neumann algebras. Academic Article

abstract

• In 1967, when Kadison and Ringrose began the development of continuous cohomology theory for operator algebras, they conjectured that the cohomology groups Hn(M, M), n >/= 1, for a von Neumann algebra M, should all be zero. This conjecture, which has important structural implications for von Neumann algebras, has been solved affirmatively in the type I, IIinfinity, and III cases, leaving open only the type II1 case. In this paper, we describe a positive solution when M is type II1 and has a Cartan subalgebra and a separable predual.

authors

• Smith, Roger

published proceedings

• Proc Natl Acad Sci U S A

author list (cited authors)

• Sinclair, A. M., & Smith, R. R.

citation count

• 2

complete list of authors

• Sinclair, AM||Smith, RR

publication date

• March 1998

publisher

• Proceedings of the National Academy of Sciences  Publisher

published in

• Proceedings of the National Academy of Sciences of the United States of America  Journal

keywords

• 0101 Pure Mathematics

PubMed Central ID

• 9520373

Digital Object Identifier (DOI)

• 10.1073/pnas.95.7.3376

URI

• https://hdl.handle.net/1969.1/184182

start page

• 3376

end page

• 3379

volume

• 95

issue

• 7

URL

• http%3A%2F%2Fdx.doi.org%2F10.1073%2Fpnas.95.7.3376