That's the normal structure for ngClass
is:
[ngClass]="{'classname' : condition}"
So in your case, just use it like this...
<ol class="breadcrumb">
<li [ngClass]="{'active': step==='step1'}" (click)="step='step1'">Step1</li>
<li [ngClass]="{'active': step==='step2'}" (click)="step='step2'">Step2</li>
<li [ngClass]="{'active': step==='step3'}" (click)="step='step3'">Step3</li>
</ol>