Journal article
K 0 of Certain Subdiagonal Subalgebras of Von Neumann Algebras
Proceedings of the American Mathematical Society, Vol.116(1), pp.13-19
09/1992
DOI: 10.2307/2159288
Abstract
We show that K0 of any finite maximal subdiagonal subalgebra of a separably acting finite von Neumann algebra is isomorphic to K0 of the diagonal of the subalgebra. It results that K0 of any finite, σ-weakly closed, maximal triangular subalgebra of a separably acting finite von Neumann algebra is isomorphic to K0 of the diagonal of the subalgebra, provided that the diagonal of the subalgebra is a Cartan subalgebra of the von Neumann algebra. In addition, given any separably acting type $\operatorname{II}_1$ factor M, we explicitly compute K0 of those triangular subalgebras T of M that have the property that there exists a UHF subalgebra A of M and a standard triangular UHF algebra I in A such that A is σ-weakly dense in M and T is the σ-weak closure of I.
Details
- Title: Subtitle
- K 0 of Certain Subdiagonal Subalgebras of Von Neumann Algebras
- Creators
- Richard Baker
- Resource Type
- Journal article
- Publication Details
- Proceedings of the American Mathematical Society, Vol.116(1), pp.13-19
- DOI
- 10.2307/2159288
- ISSN
- 0002-9939
- eISSN
- 1088-6826
- Publisher
- American Mathematical Society
- Language
- English
- Date published
- 09/1992
- Academic Unit
- Mathematics
- Record Identifier
- 9983986094902771
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