Interpolated free group factors

82Citations
Citations of this article
8Readers
Mendeley users who have this article in their library.

Abstract

The interpolated free group factors L(Fr) for 1 < r ≤ ∞ (also defined by F. Radulescu) are given another (but equivalent) definition as well as proofs of their properties with respect to compression by projections and free products. In order to prove the addition formula for free products, algebraic techniques are developed which allow us to show R*R ≅ L(F2) where R is the hyperfinite II1 -factor. © 1994 by Pacific Journal of Mathematics.

References Powered by Scopus

Limit laws for Random matrices and free products

486Citations
N/AReaders
Get full text

Free products of hyperfinite von neumann algebras and free dimension

94Citations
N/AReaders
Get full text

On Certain Free Product Factors via an Extended Matrix Model

68Citations
N/AReaders
Get full text

Cited by Powered by Scopus

Random matrix theory and wireless communications

1208Citations
N/AReaders
Get full text

On a class of type II<inf>1</inf> factors with Betti numbers invariants

232Citations
N/AReaders
Get full text

Applications of free entropy to finite von Neumann algebras, II

80Citations
N/AReaders
Get full text

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Cite

CITATION STYLE

APA

Dykema, K. (1994). Interpolated free group factors. Pacific Journal of Mathematics, 163(1), 123–135. https://doi.org/10.2140/pjm.1994.163.123

Readers' Seniority

Tooltip

Professor / Associate Prof. 3

43%

PhD / Post grad / Masters / Doc 2

29%

Researcher 2

29%

Readers' Discipline

Tooltip

Mathematics 6

86%

Engineering 1

14%

Save time finding and organizing research with Mendeley

Sign up for free