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Let M be a factor with separable predual and G a compact group of automorphisms of M whose action is minimal, i.e. M â€² âˆ©M = C, where M denotes the G-fixed point subalgebra. Then every intemediate vonâ€¦ (More)

- Masaki Izumi
- 2001

We extend the notion of the canonical extension of automorphisms of type III factors to the case of endomorphisms with finite statistical dimensions. Following the automorphism case, we introduce twoâ€¦ (More)

- Masaki Izumi
- 2001

We prove that if a conditional expectation from a simple Câˆ—-algebra onto its Câˆ—-subalgebra satisfies the Pimsner-Popa inequality, there exists a quasibasis. As an application, we establish the Galoisâ€¦ (More)

- Masaki Izumi, R Okayasu
- 2006

We consider the harmonic measure on the Gromov boundary of a nonamenable hyperbolic group defined by a finite range random walk on the group, and study the corresponding orbit equivalence relation onâ€¦ (More)

- Masaki Izumi, Yasuyuki Kawahigashi
- 2003

We show that the number of the conjugacy classes of the AFD type II1 subfactors with the principal graph D (1) n is n âˆ’ 2. This gives the last missing number in the complete classification list ofâ€¦ (More)

- Masaki Izumi
- 2007

An E0-semigroup is a semigroup of unital endomorphisms of B(H), the set of bounded operators on an infinite dimensional separable Hilbert space H , with appropriate continuity. Despite the fact thatâ€¦ (More)

- Masaki Izumi, Tsuyoshi Kajiwara, YASUO WATATANI
- 2006

We completely classify the KMS states for the gauge action on a Câˆ—algebra associated with a rational function R introduced in our previous work. The gauge action has a phase transition at Î² = logâ€¦ (More)

- Masaki Izumi
- 2008

We show that every sum system is divisible. Combined with B. V. R. Bhat and R. Srinivasanâ€™s result, this shows that every product system arising from a sum system (and every generalized CCR flow) isâ€¦ (More)

We establish the existence and uniqueness of finite free resolutions and their attendant Betti numbers for graded commuting d-tuples of Hilbert space operators. Our approach is based on the notion ofâ€¦ (More)

- Masaki Izumi
- 2009

Toeplitz CAR flows are a class of E0-semigroups including the first type III example constructed by R. T. Powers. We show that the Toeplitz CAR flows contain uncountably many mutually non cocycleâ€¦ (More)