4,023 research outputs found
KK-DUALITY FOR SELF-SIMILAR GROUPOID ACTIONS ON GRAPHS
We extend Nekrashevych’s KK-duality for C∗-algebras of regular, recurrent, contracting self-similar group actions to regular, contracting self-similar groupoid actions on a graph, removing the recurrence condition entirely and generalising from a finite alphabet to a finite graph. More precisely, given a regular and contracting self-similar groupoid (G, E) acting faithfully on a finite directed graph E, we associate two C∗-algebras, O(G, E) and Ô(G, E), to it and prove that they are strongly Morita equivalent to the stable and unstable Ruelle C*-algebras of a Smale space arising from a Wieler solenoid of the self-similar limit space. That these algebras are Spanier-Whitehead dual in KK-theory follows from the general result for Ruelle algebras of irreducible Smale spaces proved by Kaminker, Putnam, and the last author
K-theory for group C*-algebras
These notes are based on a lecture course given by the first author in the Sedano Winter School on K-theory held in Sedano, Spain, on January 22-27th of 2007. They aim at introducing K-theory of C*-algebras, equivariant K-homology and KK-theory in the context of the Baum-Connes conjectur
[[alternative]]Shape and KK Masses
[[abstract]]我們討論在六維時空模型中,額外維度空間的形狀對現象學的影響。兩個以週期性條件緊緻化的維度可以夾角Θ,此角對Kaluza-Klein態的質量有很大影響。我們特別考慮Θ<<1的情況,大部分的KK態質量會比Θ=90°時大很多,但是有一群KK態的質量會相較下小很多,我們討論這些Light KK態的KK數n1、n2滿足哪些條件,並以一個具體Θ為例找出最輕的一些KK態,這些態通常具有蠻大的KK數。如果在Universal Extra Dimension模型中來討論,KK數守恆會造成許多Light KK態無法衰變,而形成穩定粒子,這些粒子可能成為黑物質。
DETERMINATION OF DISSOLVED-OXYGEN IN SEAWATER BY DIRECT SPECTROPHOTOMETRY OF TOTAL IODINE
PREDICTION OF NITRATE CONCENTRATION FROM 2 END-MEMBER MIXING IN THE SOUTHERN EAST-CHINA-SEA
Purification and characterization of a cysteine protease produced by pathogenic luminous Vibrio harveyi.
Passive immunization of the tiger prawn, Penaeus monodon, using rabbit antisera to Vibrio harveyi.
- …
