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Title: Homotopical stable ranks for Banach algebras. Authors: Bogdan Nica. Comments: 23 pages, final version. Journal-ref: Journal of Functional Analysis , - Authors: Shinji Yamashita. Comments: 22 pages; V2 comment: Some typos are corrected. Some sentences are changed.

Title: The Baum-Connes conjecture for free orthogonal quantum groups. Authors: Christian Voigt. Comments: 34 pages, final version. Journal-ref: Adv. Title: The planar algebra of a fixed point subfactor. Authors: Teodor Banica. Journal-ref: Ann.

## 9. Einar Hille | Biographical Memoirs: V | The National Academies Press

Blaise Pascal 25 , Title: Maximal rank of extremal marginal tracial states. Authors: Hiromichi Ohno. OA ; Mathematical Physics math-ph. Authors: Adam Skalski.

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DS ; Functional Analysis math. Comments: 24 pages; corrected typos. Title: The eigenvectors of semigroups of positive maps on von Neumann algebras.

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A preliminary and somewhat more elaborate version was published at arXiv under the title "Frobenius theory fails for semigroups of positive maps on von Neumann algebras". Title: Unitary equivalence of representations of graph algebras and branching systems. Authors: Danilo Royer , Daniel Goncalves. Title: A semi-finite algebra associated to a planar algebra.

Authors: A. Guionnet , V. Jones , D. Title: Product between ultrafilters and applications to the Connes' embedding problem. Authors: V. Capraro , L. Journal-ref: Journal of Operator Theory 68 1 , OA ; Group Theory math. Authors: Joachim Cuntz , Xin Li. Title: Free Probability Theory. Authors: Roland Speicher. Subjects: Probability math.

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