On the algebraic reduction theory for countable direct summand C*-algebras of separable C*-algebras

1978 ◽  
pp. 189-192
Author(s):  
Hideo Takemoto
Keyword(s):  
Direct Summand ◽  
Reduction Theory ◽  
C Algebras ◽  
Algebraic Reduction

scholarly journals An algebraic reduction theory for W∗ algebras, I

1972 ◽  
Vol 11 (3) ◽  
pp. 295-313 ◽  
Author(s):  
Şerban Strătilă ◽  
László Zsidó
Keyword(s):  
Reduction Theory ◽  
Algebraic Reduction

scholarly journals Divided difference operators in equivariant KK-theory

2014 ◽  
Vol 06 (02) ◽  
pp. 237-261
Author(s):  
Ho-Hon Leung
Keyword(s):  
Direct Summand ◽  
Lie Group ◽  
Maximal Torus ◽  
Divided Difference ◽  
Difference Operators ◽  
C Algebras ◽  
Work Done ◽  
Connected Lie Group

Let G be a compact connected Lie group with a maximal torus T. Let A, B be G-C*-algebras. We define certain divided difference operators on Kasparov's T-equivariant KK-group KKT(A, B) and show that KKG(A, B) is a direct summand of KKT(A, B). More precisely, a T-equivariant KK-class is G-equivariant if and only if it is annihilated by an ideal of divided difference operators. This result is a generalization of work done by Atiyah, Harada, Landweber and Sjamaar.

An Introduction to K-Theory for C*-Algebras

2000 ◽  
Author(s):  
M. Rørdam ◽  
F. Larsen ◽  
N. Laustsen
Keyword(s):  
C Algebras ◽  
K Theory

The Practice and Evolution of Torque and Drag Reduction: Theory and Field Results

2011 ◽  
Author(s):  
John Edward McCormick ◽  
Chad D. Evans ◽  
Joe Le ◽  
TzuFang Chiu
Keyword(s):  
Drag Reduction ◽  
Reduction Theory

scholarly journals A novel approach to the computation of one-loop three- and four-point functions: I. The real mass case

2019 ◽  
Vol 2019 (11) ◽  
Author(s):  
J Ph Guillet ◽  
E Pilon ◽  
Y Shimizu ◽  
M S Zidi
Keyword(s):  
Building Blocks ◽  
The Real ◽  
Alternative Method ◽  
Novel Approach ◽  
Reduction Methods ◽  
Real Mass ◽  
Novel Method ◽  
Algebraic Reduction ◽  
The One ◽  
Mass Case

Abstract This article is the first of a series of three presenting an alternative method of computing the one-loop scalar integrals. This novel method enjoys a couple of interesting features as compared with the method closely following ’t Hooft and Veltman adopted previously. It directly proceeds in terms of the quantities driving algebraic reduction methods. It applies to the three-point functions and, in a similar way, to the four-point functions. It also extends to complex masses without much complication. Lastly, it extends to kinematics more general than that of the physical, e.g., collider processes relevant at one loop. This last feature may be useful when considering the application of this method beyond one loop using generalized one-loop integrals as building blocks.

scholarly journals Optimal transport and unitary orbits in C⁎-algebras

2021 ◽  
Vol 281 (5) ◽  
pp. 109068
Author(s):  
Bhishan Jacelon ◽  
Karen R. Strung ◽  
Alessandro Vignati
Keyword(s):  
Optimal Transport ◽  
C Algebras
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