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ON THE TOPOLOGY OF THE DUAL SPACE OF CROSSED PRODUCT C<sup>*</sup>-ALGEBRAS WITH FINITE GROUPS
Kamalov, Firuz Korean Mathematical Society 2017 대한수학회보 Vol.54 No.2
In this note we extend our previous result about the structure of the dual of a crossed product $C^*$-algebra $A{\rtimes}_{\sigma}G$, when G is a finite group. We consider the space $\tilde{\Gamma}$ which consists of pairs of irreducible representations of A and irreducible projective representations of subgroups of G. Our goal is to endow $\tilde{\Gamma}$ with a topology so that the orbit space e $G{\backslash}{\tilde{\Gamma}}$ is homeomorphic to the dual of $A{\rtimes}_{\sigma}G$. In particular, we will show that if $\widehat{A}$ is Hausdorff then $G{\backslash}{\tilde{\Gamma}}$ is homeomorphic to $\widehat{A{\rtimes}_{\sigma}G}$.
On the topology of the dual space of crossed product C*-algebras with finite groups
Firuz Kamalov 대한수학회 2017 대한수학회보 Vol.54 No.2
In this note we extend our previous result about the structure of the dual of a crossed product $C^*$-algebra $\cp$, when $G$ is a finite group. We consider the space $\widetilde{\Gamma}$ which consists of pairs of irreducible representations of $A$ and irreducible projective representations of subgroups of $G$. Our goal is to endow $\widetilde{\Gamma}$ with a topology so that the orbit space $G\backslash \widetilde{\Gamma}$ is homeomorphic to the dual of $\cp$. In particular, we will show that if $\widehat{A}$ is Hausdorff then $G\backslash\widetilde{\Gamma}$ is homeomorphic to $\widehat{\cp}$.
Armais Albertovich Kamalov,Nikolay Ivanovich Sorokin,Vitaly Kazichanovich Dzitiev,Andrey Alekseevich Strigunov,Olga Yurevna Nesterova,Ilya Vladimirovich Bondar 대한비뇨의학회 2024 Investigative and Clinical Urology Vol.65 No.2
Purpose: To compare perioperative, functional, and safety outcomes between thulium fiber laser enucleation of the prostate (ThuFLEP) and bipolar enucleation of the prostate performed by a single surgeon with use of propensity score (PS)-matched analysis. Materials and Methods: Data were from 675 patients, 422 of whom underwent ThuFLEP and bipolar enucleation by a single highly experienced surgeon. ThuFLEP was performed with Fiberlase U1 (IRE Polus Ltd.). Perioperative parameters, safety, and functional outcomes, such as International Prostate Symptom Score (IPSS), quality of life (QoL), postvoid residual volume (PVR), and maximum urinary flow rate (Qmax) were assessed. To control for selection bias, a 1:1 PS-matched analysis was carried out using the following variables as covariates: total prostate volume, preoperative IPSS and early sphincter release. Results: Of 422 patients, 370 (87.7%) underwent ThuFLEP and 52 (12.3%) underwent bipolar enucleation. Operation, enucleation, and morcellation time were comparable between groups before and after PS-matched analysis (p=0.954, p=0.474, p=0.362, respectively). Functional parameters (IPSS, QoL, PVR, Qmax) were also comparable between groups at every time point before and after PS matching. Significant improvements in IPSS, QoL score, Qmax, and PVR were observed during the 24-month follow-up period for both ThuFLEP and bipolar enucleation without any significant differences between groups. Early and late postoperative complications before and after PS-matched analysis were similar. Conclusions: ThuFLEP was comparable to bipolar enucleation in perioperative characteristics, improvement in voiding parameters, and complication rates. Both procedures were shown to be effective and safe in the management of benign prostatic hyperplasia.
The Synthesis of Magnetic Nano-Sized Iron Oxide from Liquid Solution by Adding Organic Components
Oybek, Tursun Kulov,Park, No Jin,Jo, Soo Jeong,Lee, Eun Young,Kamalov, Sharo Futdin,He, Li Li,Jeong, Soon Wook,Kim, Sung Jin Trans Tech Publications, Ltd. 2011 Materials science forum Vol.695 No.-
<P>Titanium silicon carbide (Ti3SiC2) is a remarkable material for its combination of the best properties of metals and ceramics. The high purity Ti3SiC2 ceramic has been prepared by infiltration sintering (IS), and the effect of a small amount of Si on Ti3SiC2 ceramic formation was investigated. The results show that the purity of Ti3SiC2 ceramic could be increased significantly and the sintering time for Ti3SiC2 could be decreased remarkably when proper amount of Si was added in the starting mixture. The Ti3SiC2 sintered compact with a purity of 99.2wt% and a relative density of 97% was obtained by the infiltration sintering from a starting mixture composed of n(Ti):n(Si):n(TiC) = 1:0.3:2 at 1500 °C with holding time of 2/3h.</P>