Problems on exercise 7.G in the book “K-Theory and C*-Algebras”
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I have a lot problems on exercise 7.G in the book K-Theory and C*-Algebras by Wegge-Olsen.
$newcommand{C}{mathbb{C}}$
$Xsubset mathbb{C}$? As I know the character space of $C^*(u_1,u_2)$ is homeomorphic to a subset of $C^2$: ${(tau(u_1),tau(u_2))|tau mbox{ is a character of } C^*(u_1,u_2)}$.
The example for a standard unitary should be $tmapsto exp(frac{2pi it}{1+|t|})$ as my tutor points out.
When $A$ is unital, $(SA)^sim={fin C(mathbb{T}to A)|f(1)inC}$. Why does $u_1:=1otimes u in M_n((SA)^sim)$?
Most important, what does the author want to tell us?
tensor-products c-star-algebras k-theory
asked 20 hours ago
C.Ding
1,2961321
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3
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I have a lot problems on exercise 7.G in the book K-Theory and C*-Algebras by Wegge-Olsen.
$newcommand{C}{mathbb{C}}$
$Xsubset mathbb{C}$? As I know the character space of $C^*(u_1,u_2)$ is homeomorphic to a subset of $C^2$: ${(tau(u_1),tau(u_2))|tau mbox{ is a character of } C^*(u_1,u_2)}$.
The example for a standard unitary should be $tmapsto exp(frac{2pi it}{1+|t|})$ as my tutor points out.
When $A$ is unital, $(SA)^sim={fin C(mathbb{T}to A)|f(1)inC}$. Why does $u_1:=1otimes u in M_n((SA)^sim)$?
Most important, what does the author want to tell us?
tensor-products c-star-algebras k-theory
asked 20 hours ago
C.Ding
1,2961321
add a comment |
up vote
3
down vote
favorite
up vote
3
down vote
favorite
I have a lot problems on exercise 7.G in the book K-Theory and C*-Algebras by Wegge-Olsen.
$newcommand{C}{mathbb{C}}$
$Xsubset mathbb{C}$? As I know the character space of $C^*(u_1,u_2)$ is homeomorphic to a subset of $C^2$: ${(tau(u_1),tau(u_2))|tau mbox{ is a character of } C^*(u_1,u_2)}$.
The example for a standard unitary should be $tmapsto exp(frac{2pi it}{1+|t|})$ as my tutor points out.
When $A$ is unital, $(SA)^sim={fin C(mathbb{T}to A)|f(1)inC}$. Why does $u_1:=1otimes u in M_n((SA)^sim)$?
Most important, what does the author want to tell us?
tensor-products c-star-algebras k-theory
asked 20 hours ago
C.Ding
1,2961321
I have a lot problems on exercise 7.G in the book K-Theory and C*-Algebras by Wegge-Olsen.
$newcommand{C}{mathbb{C}}$
$Xsubset mathbb{C}$? As I know the character space of $C^*(u_1,u_2)$ is homeomorphic to a subset of $C^2$: ${(tau(u_1),tau(u_2))|tau mbox{ is a character of } C^*(u_1,u_2)}$.
The example for a standard unitary should be $tmapsto exp(frac{2pi it}{1+|t|})$ as my tutor points out.
When $A$ is unital, $(SA)^sim={fin C(mathbb{T}to A)|f(1)inC}$. Why does $u_1:=1otimes u in M_n((SA)^sim)$?
Most important, what does the author want to tell us?
tensor-products c-star-algebras k-theory
tensor-products c-star-algebras k-theory
asked 20 hours ago
C.Ding
1,2961321
asked 20 hours ago
C.Ding
1,2961321
edited 19 hours ago
asked 20 hours ago
C.Ding
1,2961321
asked 20 hours ago
C.Ding
1,2961321
asked 20 hours ago
C.Ding
1,2961321
1,2961321
add a comment |
add a comment |
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