An Analogue of Longo's Canonical Endomorphism for Bimodule Theory and Its Application to Asymptotic Inclusions

1997 ◽  
Vol 08 (02) ◽  
pp. 249-265 ◽  
Author(s):  
Toshihiko Masuda

We give an analogous characterization of Longo's canonical endomorphism in the bimodule theory, and by using this, we construct an inclusion of factors of type II 1 from a finite system of bimodules as a parallel construction to that of Longo–Rehren in a type III setting. When the original factors are approximately finite dimensional, we prove this new inclusion is isomorphic to the asymptotic inclusion in the sense of Ocneanu. This solves a conjecture of Longo–Rehren.

2020 ◽  
Vol 123 (4) ◽  
pp. 587-596
Author(s):  
A. Emanuel ◽  
C.H. Kasanzu ◽  
M. Kagya

Abstract Triassic to mid-Jurassic core samples of the Mandawa basin, southern Tanzania (western coast of the Indian Ocean), were geochemically analyzed in order to constrain source rock potentials and petroleum generation prospects of different stratigraphic formations within the coastal basin complex. The samples were collected from the Mihambia, Mbuo and Nondwa Formations in the basin. Geochemical characterization of source rocks intersected in exploration wells drilled between 503 to 4042 m below surface yielded highly variable organic matter contents (TOC) rated between fair and very good potential source rocks (0.5 to 8.7 wt%; mean ca. 2.3 wt%). Based on bulk geochemical data obtained in this study, the Mandawa source rocks are mainly Type I, Type II, Type III, mixed Types II/III and Type IV kerogens, with a predominance of Type II, Type III and mixed Type II/III. Based on pyrolysis data (Tmax 417 to 473oC; PI = 0.02 to 0.47; highly variable HI = 13 to 1 000 mg/gTOC; OI = 16 to 225 mg/g; and VR values of between 0.24 to 0.95% Ro) we suggest that the Triassic Mbuo Formation and possibly the mid-Jurassic Mihambia Formation have a higher potential for hydrocarbon generation than the Nondwa Formation as they are relatively thermally mature.


2014 ◽  
Vol 4 (1) ◽  
pp. 23-33
Author(s):  
P Issar ◽  
SK Issar

Purpose: To assess the role of Dynamic contrast enhanced magnetic resonance imaging in characterization of breast lesions and to differentiate benign from malignant lesions on the basis of their morphology and enhancement kinetics. Material and Methods: Sixty patients referred to the department of Radiodiagnosis for breast MRI over a period of twenty months were included. Dynamic contrast enhanced (DCE) Magnetic Resonance Imaging (MRI) was performed to differentiate breast lesions on the basis of morphology and enhancement kinetics. The lesions were classified accordingly into type I (progressive enhancement) Type II (plateau) and Type III (washout) kinetics. Morphology and curves of benign and malignant lesions were compared. Result: fifty one benign lesions were detected in 32 patients and 29 malignant lesions were seen in 22 patients, whereas six patients showed normal MRI. It was found that benign lesion were round or oval in shape with well circumscribed margin and showed homogenous contrast enhancement whereas malignant lesions were irregular with spiculated margin and showed heterogenous contrast enhancement. The distribution curve types of benign lesion were Type I (81.25%-26cases), Type II (18.25%-6cases). For malignant lesions Type I (4.54%-1case), Type II (22.72%-5cases) and Type III (72.72%-16cases). Conclusion: The shape of the time- signal intensity curve were an important criteria in differentiating benign from malignant lesions in dynamic breast MR imaging. A type III time curve is a strong indicator of malignancy and is independent of other criteria. DOI: http://dx.doi.org/10.3126/njr.v4i1.11366 Nepalese Journal of Radiology, Vol.4(1) 2014: 23-33


2020 ◽  
Vol 65 (11) ◽  
pp. 971-984
Author(s):  
Divya Pasumarthi ◽  
Neerja Gupta ◽  
Jayesh Sheth ◽  
S. Jamal Md Nurul Jain ◽  
Ikrormi Rungsung ◽  
...  

1969 ◽  
Vol 21 ◽  
pp. 1293-1308 ◽  
Author(s):  
Wai-Mee Ching

A von Neumann algebra is called hyperfinite if it is the weak closure of an increasing sequence of finite-dimensional von Neumann subalgebras. For a separable infinite-dimensional Hilbert space the following is known: there exist hyperfinite and non-hyperfinite factors of type II1 (4, Theorem 16’), and of type III (8, Theorem 1); all hyperfinite factors of type Hi are isomorphic (4, Theorem 14); there exist uncountably many non-isomorphic hyperfinite factors of type III (7, Theorem 4.8); there exist two nonisomorphic non-hyperfinite factors of type II1 (10), and of type III (11). In this paper we will show that on a separable infinite-dimensional Hilbert space there exist three non-isomorphic non-hyperfinite factors of type II1 (Theorem 2), and of type III (Theorem 3).Section 1 contains an exposition of crossed product, which is developed mainly for the construction of factors of type III in § 3.


1993 ◽  
Vol 04 (04) ◽  
pp. 675-688 ◽  
Author(s):  
CARL WINSLØW

For actions on arbitrary inclusions of factors with finite index, we define an algebraic property called "strong freeness". In the case of strongly amenable subfactors of type II∞ or IIIλ (0 < λ < 1), this property is shown to be a characterization of centrally free actions. We then classify strongly free actions of discrete amenable groups on strongly amenable subfactors of type II∞, and strongly free actions of a class of discrete amenable groups (which include ℤn, n ∈ ℕ) on strongly amenable subfactors of type IIIλ. Namely, we show that the (generalized) fundamental homomorphism is a complete invariant for cocycle conjugacy in both cases.


Author(s):  
G. D. Gagne ◽  
M. F. Miller ◽  
D. A. Peterson

Experimental infection of chimpanzees with non-A, non-B hepatitis (NANB) or with delta agent hepatitis results in the appearance of characteristic cytoplasmic alterations in the hepatocytes. These alterations include spongelike inclusions (Type I), attached convoluted membranes (Type II), tubular structures (Type III), and microtubular aggregates (Type IV) (Fig. 1). Type I, II and III structures are, by association, believed to be derived from endoplasmic reticulum and may be morphogenetically related. Type IV structures are generally observed free in the cytoplasm but sometimes in the vicinity of type III structures. It is not known whether these structures are somehow involved in the replication and/or assembly of the putative NANB virus or whether they are simply nonspecific responses to cellular injury. When treated with uranyl acetate, type I, II and III structures stain intensely as if they might contain nucleic acids. If these structures do correspond to intermediates in the replication of a virus, one might expect them to contain DNA or RNA and the present study was undertaken to explore this possibility.


1994 ◽  
Vol 72 (02) ◽  
pp. 180-185 ◽  
Author(s):  
David J Mancuso ◽  
Elodee A Tuley ◽  
Ricardo Castillo ◽  
Norma de Bosch ◽  
Pler M Mannucci ◽  
...  

Summaryvon Willebrand factor gene deletions were characterized in four patients with severe type III von Willebrand disease and alloantibodies to von Willebrand factor. A PCR-based strategy was used to characterize the boundaries of the deletions. Identical 30 kb von Willebrand factor gene deletions which include exons 33 through 38 were identified in two siblings of one family by this method. A small 5 base pair insertion (CCTGG) was sequenced at the deletion breakpoint. PCR analysis was used to detect the deletion in three generations of the family, including two family members who are heterozygous for the deletion. In a second family, two type III vWD patients, who are distant cousins, share an -56 kb deletion of exons 22 through 43. The identification and characterization of large vWF gene deletions in these type III vWD patients provides further support for the association between large deletions in both von Willebrand factor alleles and the development of inhibitory alloantibodies.


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