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SUMMARY:Anshu Nirbhay (IISER Bhopal)
DTSTART:20210317T113000Z
DTEND:20210317T130000Z
DTSTAMP:20260423T021113Z
UID:WOTOA/21
DESCRIPTION:Title: <a href="https://researchseminars.org/talk/WOTOA/21/">S
 ome Dimension Theories of C*-algebras and Rokhlin-type Properties</a>\nby 
 Anshu Nirbhay (IISER Bhopal) as part of Webinars on Operator Theory and Op
 erator Algebras\n\n\nAbstract\nThere are many ranks associated with a $C^*
 $-algebra. Rieffel defined the notion of stable ranks in the 1980s. We wil
 l mainly focus on two of these ranks namely connected stable rank and gene
 ral stable rank. If we are given a group $G$\, which acts on a $C^*$-algeb
 ra $A$ via a map $\\alpha$\, the triple $(A\, G\, \\alpha)$ is said to be 
 a $C^*$-dynamical system\, then we can associate a $C^*$-algebra called a 
 crossed product $C^*$-algebra denoted by $A \\rtimes_{\\alpha}G$. We will 
 discuss the homotopical stable ranks of a crossed product $C^*$-algebra by
  a finite group where the action involved has Rokhlin-type property.\n
LOCATION:https://researchseminars.org/talk/WOTOA/21/
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