Cameron, Jan; Christensen, Erik; Sinclair, Allan M.; Smith, Roger R.; White, Stuart; Wiggins, Alan D. Structural properties of close \(\mathrm{II}_1\) factors. (English) Zbl 1379.46045 Münster J. Math. 10, No. 1, 19-37 (2017). Summary: We show a number of key structural properties transfer between sufficiently close \(\mathrm{II}_1\) factors, including solidity, strong solidity, uniqueness of Cartan masas and property \(\Gamma\). We also examine \(\mathrm{II}_1\) factors close to tensor product factors, showing that such factors also factorize as a tensor product in a fashion close to the original. MSC: 46L10 General theory of von Neumann algebras 46L36 Classification of factors Keywords:\(\mathrm{II}_1\) factors; solidity; uniqueness of Cartan masas; property \(\Gamma\) PDFBibTeX XMLCite \textit{J. Cameron} et al., Münster J. Math. 10, No. 1, 19--37 (2017; Zbl 1379.46045) Full Text: DOI arXiv